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LCM of 972, 880, 635, 635

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 972, 880, 635, 635 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 972, 880, 635, 635. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 972,880,635,635

Given numbers are 972,880,635,635

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 972,880,635,635 is 27157680.

Find LCM of 972,880,635,635 with Prime Factorization


2 972, 880, 635, 635
2 486, 440, 635, 635
5 243, 220, 635, 635
127 243, 44, 127, 127
243, 44, 1, 1

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 5 x 127 x 243 x 44 x 1 x 1 = 27157680

Therefore, the lowest common multiple of 972,880,635,635 is 27157680.

LCM Formula to Find Lowest Common Multiple of 972,880,635,635

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

972 x 880 x 635 x 635 = 344902536000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

635 : 1, 5, 127, 635

635 : 1, 5, 127, 635

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,880,635,635, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

880:2x 2x 2x 2x 5x 11

635:5x 127

635:5x 127

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 5x 5x 127 = 12700

Therefore, the value for common factors is 12700.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 344902536000/(1x12700)

LCM = 344902536000/12700

LCM = 27157680

Thus, we can understand that the LCM of 972,880,635,635 is 27157680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 972, 880, 635, 635

1. What is the LCM of 972, 880, 635, 635?

Answer: LCM of 972, 880, 635, 635 is 27157680.

2. How to calculate the LCM of 972, 880, 635, 635?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 972, 880, 635, 635.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.