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LCM of 358, 748, 416, 502

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


Find the LCM of 358, 748, 416, 502 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 358, 748, 416, 502. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 358,748,416,502

Given numbers are 358,748,416,502

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

The LCM of 358,748,416,502 is 3495116768.

Find LCM of 358,748,416,502 with Prime Factorization


2 358, 748, 416, 502
2 179, 374, 208, 251
179, 187, 104, 251

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

2 x 2 x 179 x 187 x 104 x 251 = 3495116768

Therefore, the lowest common multiple of 358,748,416,502 is 3495116768.

LCM Formula to Find Lowest Common Multiple of 358,748,416,502

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.

358 x 748 x 416 x 502 = 55921868288

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.

358 : 1, 2, 179, 358

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

502 : 1, 2, 251, 502

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,748,416,502, is 2.

Now, the common factors can be found like this.

358:2x 179

748:2x 2x 11x 17

416:2x 2x 2x 2x 2x 13

502:2x 251

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 55921868288/(2x8)

LCM = 55921868288/16

LCM = 3495116768

Thus, we can understand that the LCM of 358,748,416,502 is 3495116768.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 358, 748, 416, 502

1. What is the LCM of 358, 748, 416, 502?

Answer: LCM of 358, 748, 416, 502 is 3495116768.

2. How to calculate the LCM of 358, 748, 416, 502?

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 358, 748, 416, 502.

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}.