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What two numbers have a GCF of 24 and LCM of 48?
24 and 48 have a GCF of 24 and an LCM of 48.
What two numbers have a GCF of 9 and LCM of 54?
To find two numbers with a greatest common factor (GCF) of 9 and a least common multiple (LCM) of 54, we can use the relationship between GCF, LCM, and the product of two numbers. The product of two numbers is equal to the product of their GCF and LCM. So, if GCF is 9 and LCM is 54, the product of the two numbers is 9 * 54 = 486. To find the two numbers, we need to find a pair of factors whose product is 486 and whose GCF is 9. The numbers that meet these criteria are 27 and 18.
How do you find LCM and HCF of fractions?
You don't. LCM and GCF (HCF) refer to whole numbers. You can find the LCM of two whole numbers that happen to be denominators, but in that case we call it the LCD. You can find the GCF of two whole numbers that happen to be the numerator and denominator of a fraction, and that will let you know whether the fraction can be simplified.You can use the GCF of the denominators to find their LCM (LCD). For example,1/18 + 1/24GCF = 6 because 18 = 6*3 and 24 = 6*4, thus LCD = 18*4 = 24*3 = 721/18 + 1/24 = (1*4)/(18*4) + (1*3)/(24*3) = 4/72 + 3/72 = 7/72.
How do you find sets of two numbers if HCF and LCM are known?
You cannot. The numbers 2 and 12 have hcf = 2 and LCM = 12 The numbers 4 and 6 also have hcf = 2 and LCM = 12 So if you just knew the hcf and LCM you would not know which of the two was the required pair.
The LCM of two consecutive numbers is greater then 200 and is a multiple of 7. What are the two numbers?
14 and 15
What is the product of the GCF and LCM of two numbers?
The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.
What is the relation between HCF and LCM?
Since the product of two numbers is equal to the product of their GCF and LCM, the GCF of two numbers is equal to their product divided by their LCM and their LCM is equal to their product divided by their GCF.
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 the relationship does the greatest common factor and the LCM have?
The product of the GCF and LCM is equal to the product of the original two numbers.
How do you find GCF knowing LCM?
The LCM of two numbers multiplied by their GCF will equal the product of the original numbers. If you know the LCM, divide it into the product. The result will be the GCF.
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 is the Multiplication of HCF and LCM of two number?
The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.
Are the GCF and LCM of two numbers always equal?
Hardly ever.
Is the GCF of 2 different numbers greater than the LCM of the numbers?
No.The gcf of two numbers is LESS THAN OR EQUAL than their lcm.The gcf of two DIFFERENT numbes is LESS THAN their lcm.
How do you check lcm answer?
One way to check: The product of the original two numbers is equal to the product of their GCF and LCM. If you divide that product by their GCF, you will get the LCM.
If the GCF of two numbers is 15 and their product is 300 what is their LCM?
The general rule is that the product of the LCM and the GCF is equal to the product of the original two numbers. That would make the answer 20. Lets overlook the fact that two numbers with a GCF of 15 and an LCM of 20 don't exist.
What do LCM and GCF have in common?
They are both found from the relationships between the members of a given set of numbers. They have kind of an inverse relationship. Since the product of the LCM and GCF of two numbers is equal to the product of the original numbers, when the GCF increases, the LCM decreases and vice versa.
