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LCM of 359, 935, 286, 748

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


Find the LCM of 359, 935, 286, 748 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 359, 935, 286, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 359,935,286,748

Given numbers are 359,935,286,748

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

The LCM of 359,935,286,748 is 17454580.

Find LCM of 359,935,286,748 with Prime Factorization


2 359, 935, 286, 748
11 359, 935, 143, 374
17 359, 85, 13, 34
359, 5, 13, 2

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

2 x 11 x 17 x 359 x 5 x 13 x 2 = 17454580

Therefore, the lowest common multiple of 359,935,286,748 is 17454580.

LCM Formula to Find Lowest Common Multiple of 359,935,286,748

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.

359 x 935 x 286 x 748 = 71808142120

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.

359 : 1, 359

935 : 1, 5, 11, 17, 55, 85, 187, 935

286 : 1, 2, 11, 13, 22, 26, 143, 286

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,935,286,748, is 1.

Now, the common factors can be found like this.

359:359

935:5x 11x 17

286:2x 11x 13

748:2x 2x 11x 17

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

2x 11x 11x 17 = 4114

Therefore, the value for common factors is 4114.

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 = 71808142120/(1x4114)

LCM = 71808142120/4114

LCM = 17454580

Thus, we can understand that the LCM of 359,935,286,748 is 17454580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 359, 935, 286, 748

1. What is the LCM of 359, 935, 286, 748?

Answer: LCM of 359, 935, 286, 748 is 17454580.

2. How to calculate the LCM of 359, 935, 286, 748?

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 359, 935, 286, 748.

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}.