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LCM of 957, 726, 980, 429

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


Find the LCM of 957, 726, 980, 429 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, 726, 980, 429. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 957,726,980,429

Given numbers are 957,726,980,429

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

The LCM of 957,726,980,429 is 134113980.

Find LCM of 957,726,980,429 with Prime Factorization


2 957, 726, 980, 429
3 957, 363, 490, 429
11 319, 121, 490, 143
29, 11, 490, 13

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

2 x 3 x 11 x 29 x 11 x 490 x 13 = 134113980

Therefore, the lowest common multiple of 957,726,980,429 is 134113980.

LCM Formula to Find Lowest Common Multiple of 957,726,980,429

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 726 x 980 x 429 = 292100248440

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

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

429 : 1, 3, 11, 13, 33, 39, 143, 429

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,726,980,429, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

726:2x 3x 11x 11

980:2x 2x 5x 7x 7

429:3x 11x 13

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

2x 3x 3x 11x 11 = 2178

Therefore, the value for common factors is 2178.

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 = 292100248440/(1x2178)

LCM = 292100248440/2178

LCM = 134113980

Thus, we can understand that the LCM of 957,726,980,429 is 134113980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 957, 726, 980, 429

1. What is the LCM of 957, 726, 980, 429?

Answer: LCM of 957, 726, 980, 429 is 134113980.

2. How to calculate the LCM of 957, 726, 980, 429?

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, 726, 980, 429.

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}.