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What is the use of HCF and LCM?
The HCF helps when reducing fractions. The LCM helps when adding or subtracting fractions.
How do you find the LCM using GCF?
The GCF of two numbers multiplied by their LCM will equal the product of the original numbers. If you know the GCF, divide it into the product of the two. The result will be the LCM. If the GCF of two numbers is 1, the LCM is their product.
What is a number that has 360 as a GCF and 12 as a LCM?
You need at least two numbers to find a GCF or an LCM and the LCM of those numbers can never be less than the GCF. 12 and 360 have a GCF of 12 and an LCM of 360. So do 60 and 72.
When adding fractions with unlike denominators it is most helpful if the fractions are renamed using the?
If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator.
How do you find two numbers if HCF and LCM are known?
The product of the GCF and the LCM of two numbers is equal to the product of the original two numbers. Multiply the GCF and the LCM. The original two numbers will be another factor pair of that total. Find the factor pair that has that GCF and LCM.
What problems can be solved using gcf and LCM?
Finding the LCM will make adding and subtracting fractions easier.
When would you apply gcf instead of lcm?
GCF is used for factoring terms, possibly in solving equations. LCM is used to find a common denominator when adding or subtracting fractions.
Why is greatest common factor in math helpful?
Finding the GCF helps to reduce fractions to their simplest form. Knowing the GCF can help to find the LCM, which assists in adding and subtracting fractions.
When is it useful to find the LCM or GCF of two numbers to solve a problem?
When adding or subtracting fractions with different denominators and when reducing fractions to their lowest termsWhen adding or subtracting fractions with different denominators their lowest common multiple is needed and when reducing fractions to their lowest terms their greatest common factor is needed.
When can you use common multiples and factors?
Use the LCM when you are adding and subtracting unlike fractions. Use the GCF when you are simplifying fractions.
How can knowing the GCF and LCM help you when you add subtract and multiply fractions?
Knowing the LCM will help when adding or subtracting unlike fractions. By finding the LCM of the denominators, (called the lowest common denominator) you can convert unlike to like fractions and proceed with the adding or subtracting. Knowing the GCF helps reduce a fraction. By finding the GCF of the numerator and the denominator and dividing both of them by it, you can reduce a fraction to its lowest terms (simplest form). If the GCF is 1, the fraction is in its simplest form. You can successfully multiply fractions without knowing the GCF or LCM.
What types of problems can be solved using the greatest common factor and what types of problems can be solved using the least common multiple.?
Finding the GCF will help in simplifying fractions. Finding the LCM will help in adding and subtracting fractions.
Why do you find the LCM of numbers?
Finding the LCM helps in the process of adding and subtracting unlike fractions.
How can the greatest common factor and least common multiple help you work with fractions?
Finding the GCF of the numerator and the denominator of a fraction and dividing them both by it will give you the simplest form of that fraction. Finding the LCM of unlike denominators and converting them to it will make it possible to add and subtract unlike fractions.
How do GCF and LCM involve with the real world?
Use the GCF to reduce fractions. Use the LCM to add and subtract unlike fractions. Carpenters work with fractions a lot.
What is the use of LCM?
When adding or subtracting unlike fractions, the LCM process is used to find the least common denominator.
How can knowing the GCF and LCM help you when you add subtract and multiply fraction?
Knowing the LCM of the denominators of unlike fractions will help you find the least common denominator, a necessary step in adding and subtracting them. Knowing the GCF of a numerator and denominator will tell you if the fraction can be reduced.
