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LCM of 957, 517, 989, 784

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


Find the LCM of 957, 517, 989, 784 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 957, 517, 989, 784. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 957,517,989,784

Given numbers are 957,517,989,784

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

The LCM of 957,517,989,784 is 34875637104.

Find LCM of 957,517,989,784 with Prime Factorization


11 957, 517, 989, 784
87, 47, 989, 784

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

11 x 87 x 47 x 989 x 784 = 34875637104

Therefore, the lowest common multiple of 957,517,989,784 is 34875637104.

LCM Formula to Find Lowest Common Multiple of 957,517,989,784

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.

957 x 517 x 989 x 784 = 383632008144

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.

957 : 1, 3, 11, 29, 33, 87, 319, 957

517 : 1, 11, 47, 517

989 : 1, 23, 43, 989

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,517,989,784, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

517:11x 47

989:23x 43

784:2x 2x 2x 2x 7x 7

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

11 = 11

Therefore, the value for common factors is 11.

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 = 383632008144/(1x11)

LCM = 383632008144/11

LCM = 34875637104

Thus, we can understand that the LCM of 957,517,989,784 is 34875637104.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 957, 517, 989, 784

1. What is the LCM of 957, 517, 989, 784?

Answer: LCM of 957, 517, 989, 784 is 34875637104.

2. How to calculate the LCM of 957, 517, 989, 784?

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 957, 517, 989, 784.

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}.