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LCM of 987, 461, 278, 956

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


Find the LCM of 987, 461, 278, 956 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 987, 461, 278, 956. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 987,461,278,956

Given numbers are 987,461,278,956

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

The LCM of 987,461,278,956 is 60463150188.

Find LCM of 987,461,278,956 with Prime Factorization


2 987, 461, 278, 956
987, 461, 139, 478

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

2 x 987 x 461 x 139 x 478 = 60463150188

Therefore, the lowest common multiple of 987,461,278,956 is 60463150188.

LCM Formula to Find Lowest Common Multiple of 987,461,278,956

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.

987 x 461 x 278 x 956 = 120926300376

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.

987 : 1, 3, 7, 21, 47, 141, 329, 987

461 : 1, 461

278 : 1, 2, 139, 278

956 : 1, 2, 4, 239, 478, 956

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,461,278,956, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

461:461

278:2x 139

956:2x 2x 239

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

2 = 2

Therefore, the value for common factors is 2.

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 = 120926300376/(1x2)

LCM = 120926300376/2

LCM = 60463150188

Thus, we can understand that the LCM of 987,461,278,956 is 60463150188.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 987, 461, 278, 956

1. What is the LCM of 987, 461, 278, 956?

Answer: LCM of 987, 461, 278, 956 is 60463150188.

2. How to calculate the LCM of 987, 461, 278, 956?

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 987, 461, 278, 956.

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}.