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LCM of 461, 357, 962, 592

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


Find the LCM of 461, 357, 962, 592 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 461, 357, 962, 592. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 461,357,962,592

Given numbers are 461,357,962,592

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

The LCM of 461,357,962,592 is 1266584592.

Find LCM of 461,357,962,592 with Prime Factorization


2 461, 357, 962, 592
37 461, 357, 481, 296
461, 357, 13, 8

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

2 x 37 x 461 x 357 x 13 x 8 = 1266584592

Therefore, the lowest common multiple of 461,357,962,592 is 1266584592.

LCM Formula to Find Lowest Common Multiple of 461,357,962,592

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.

461 x 357 x 962 x 592 = 93727259808

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.

461 : 1, 461

357 : 1, 3, 7, 17, 21, 51, 119, 357

962 : 1, 2, 13, 26, 37, 74, 481, 962

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,357,962,592, is 1.

Now, the common factors can be found like this.

461:461

357:3x 7x 17

962:2x 13x 37

592:2x 2x 2x 2x 37

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

2x 37 = 74

Therefore, the value for common factors is 74.

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 = 93727259808/(1x74)

LCM = 93727259808/74

LCM = 1266584592

Thus, we can understand that the LCM of 461,357,962,592 is 1266584592.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 461, 357, 962, 592

1. What is the LCM of 461, 357, 962, 592?

Answer: LCM of 461, 357, 962, 592 is 1266584592.

2. How to calculate the LCM of 461, 357, 962, 592?

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 461, 357, 962, 592.

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}.