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LCM of 595, 748, 216, 316

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


Find the LCM of 595, 748, 216, 316 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 595, 748, 216, 316. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 595,748,216,316

Given numbers are 595,748,216,316

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

The LCM of 595,748,216,316 is 111683880.

Find LCM of 595,748,216,316 with Prime Factorization


2 595, 748, 216, 316
2 595, 374, 108, 158
17 595, 187, 54, 79
35, 11, 54, 79

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

2 x 2 x 17 x 35 x 11 x 54 x 79 = 111683880

Therefore, the lowest common multiple of 595,748,216,316 is 111683880.

LCM Formula to Find Lowest Common Multiple of 595,748,216,316

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.

595 x 748 x 216 x 316 = 30378015360

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.

595 : 1, 5, 7, 17, 35, 85, 119, 595

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

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

316 : 1, 2, 4, 79, 158, 316

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,748,216,316, is 1.

Now, the common factors can be found like this.

595:5x 7x 17

748:2x 2x 11x 17

216:2x 2x 2x 3x 3x 3

316:2x 2x 79

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 2x 2x 17 = 272

Therefore, the value for common factors is 272.

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 = 30378015360/(1x272)

LCM = 30378015360/272

LCM = 111683880

Thus, we can understand that the LCM of 595,748,216,316 is 111683880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 595, 748, 216, 316

1. What is the LCM of 595, 748, 216, 316?

Answer: LCM of 595, 748, 216, 316 is 111683880.

2. How to calculate the LCM of 595, 748, 216, 316?

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 595, 748, 216, 316.

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}.