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LCM of 418, 362, 625, 956

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


Find the LCM of 418, 362, 625, 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 418, 362, 625, 956. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,362,625,956

Given numbers are 418,362,625,956

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

The LCM of 418,362,625,956 is 22602827500.

Find LCM of 418,362,625,956 with Prime Factorization


2 418, 362, 625, 956
209, 181, 625, 478

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

2 x 209 x 181 x 625 x 478 = 22602827500

Therefore, the lowest common multiple of 418,362,625,956 is 22602827500.

LCM Formula to Find Lowest Common Multiple of 418,362,625,956

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.

418 x 362 x 625 x 956 = 90411310000

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

362 : 1, 2, 181, 362

625 : 1, 5, 25, 125, 625

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 418,362,625,956, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

362:2x 181

625:5x 5x 5x 5

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.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 90411310000/(1x4)

LCM = 90411310000/4

LCM = 22602827500

Thus, we can understand that the LCM of 418,362,625,956 is 22602827500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 362, 625, 956

1. What is the LCM of 418, 362, 625, 956?

Answer: LCM of 418, 362, 625, 956 is 22602827500.

2. How to calculate the LCM of 418, 362, 625, 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 418, 362, 625, 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}.