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By finding their common prime numbers.

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Q: How can you find the GCF of a given set of numbers given their LCM but without listing the factors of the numbers?
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How can you find the LCM of a set of a numbers given their greatest common factor without listing the multiples of the numbers?

If you have two numbers, multiply them together and divide that total by the GCF. The result will be the LCM.


What is the different between factors and multiples?

The factors of a given number are those numbers which divide into the given number exactly without any remainder. The multiples of a given number are those numbers into which the given number divides exactly with no remainder (that is the given number's times table). example The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 since they all divide into 60 without any remainder The multiples of 60 are: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, (and so on) since they are all divisible by 60 with no remainder.


How are factors and multiples the same?

No. A factor is a number or algebraic expression by which another is exactly divisible. A multiple is a number that can be divided by another number without a remainder. Factors go into numbers, numbers go into multiples.


How are common factors and greatest common factors alike and dislike?

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples.


What is the LCM of 42 63 and 105 formula?

It is: 630 by finding the prime factors of the given numbers

Related questions

What is the LCM of 5 and 8 by listing multiples?

LCM is 40, which is the multiple of the highest power of prime factors in the given numbers (23 x 5).


How can you find the LCM of a set of a numbers given their greatest common factor without listing the multiples of the numbers?

If you have two numbers, multiply them together and divide that total by the GCF. The result will be the LCM.


What numbers 19 21 23 and 25 have the most factors?

21 has the most factors of the given numbers.


What are all the common factor?

There is not enough information to answer this question. Common factors are factors that two or more numbers have in common. Without being given at least two numbers, it is impossible to list all the common factors.


What is the factors of 72 and 56?

The GCF of the given numbers is 8


What is the difference between factors of a number and prime factors of a number?

All numbers have factors. Some factors are prime numbers. These are known as prime factors. The set of prime factors is a subset of the set of factors for any given number.


What are factors for 49 and 56?

The HCF of the given two numbers is 7


Is a common factor the product of two factors that are the same?

No, the product of two factors that are the same is a perfect square. Common factors are numbers that divide evenly into a given set of numbers.


How do you write a fraction or decimal that has a value between the given numbers?

Without knowing what the numbers are, I would suggest taking the mean of the given numbers.


What number has five different prime factors?

Since there are an infinite number of prime numbers, there are infinite numbers with any given number of prime factors.


What are the prime factors between 20 and 30?

Prime numbers between the given numbers are 23 and 29


Is 2 and 3 a prime factor?

2 and 3 are prime numbers. If they are factors of a given number, they are prime factors.