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LCM of 907, 680, 756, 715, 532

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


Find the LCM of 907, 680, 756, 715, 532 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 907, 680, 756, 715, 532. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 907,680,756,715,532

Given numbers are 907,680,756,715,532

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

The LCM of 907,680,756,715,532 is 316714277880.

Find LCM of 907,680,756,715,532 with Prime Factorization


2 907, 680, 756, 715, 532
2 907, 340, 378, 715, 266
5 907, 170, 189, 715, 133
7 907, 34, 189, 143, 133
907, 34, 27, 143, 19

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

2 x 2 x 5 x 7 x 907 x 34 x 27 x 143 x 19 = 316714277880

Therefore, the lowest common multiple of 907,680,756,715,532 is 316714277880.

LCM Formula to Find Lowest Common Multiple of 907,680,756,715,532

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.

907 x 680 x 756 x 715 x 532 = 177359995612800

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.

907 : 1, 907

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

715 : 1, 5, 11, 13, 55, 65, 143, 715

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,680,756,715,532, is 1.

Now, the common factors can be found like this.

907:907

680:2x 2x 2x 5x 17

756:2x 2x 3x 3x 3x 7

715:5x 11x 13

532:2x 2x 7x 19

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 2x 2x 5x 7 = 560

Therefore, the value for common factors is 560.

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 = 177359995612800/(1x560)

LCM = 177359995612800/560

LCM = 316714277880

Thus, we can understand that the LCM of 907,680,756,715,532 is 316714277880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 907, 680, 756, 715, 532

1. What is the LCM of 907, 680, 756, 715, 532?

Answer: LCM of 907, 680, 756, 715, 532 is 316714277880.

2. How to calculate the LCM of 907, 680, 756, 715, 532?

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 907, 680, 756, 715, 532.

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}.