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LCM of 506, 354, 779, 654, 361

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


Find the LCM of 506, 354, 779, 654, 361 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 506, 354, 779, 654, 361. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 506,354,779,654,361

Given numbers are 506,354,779,654,361

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

The LCM of 506,354,779,654,361 is 144491180658.

Find LCM of 506,354,779,654,361 with Prime Factorization


2 506, 354, 779, 654, 361
3 253, 177, 779, 327, 361
19 253, 59, 779, 109, 361
253, 59, 41, 109, 19

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

2 x 3 x 19 x 253 x 59 x 41 x 109 x 19 = 144491180658

Therefore, the lowest common multiple of 506,354,779,654,361 is 144491180658.

LCM Formula to Find Lowest Common Multiple of 506,354,779,654,361

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.

506 x 354 x 779 x 654 x 361 = 32943989190024

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

354 : 1, 2, 3, 6, 59, 118, 177, 354

779 : 1, 19, 41, 779

654 : 1, 2, 3, 6, 109, 218, 327, 654

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,354,779,654,361, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

354:2x 3x 59

779:19x 41

654:2x 3x 109

361:19x 19

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 3x 19 = 228

Therefore, the value for common factors is 228.

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 = 32943989190024/(1x228)

LCM = 32943989190024/228

LCM = 144491180658

Thus, we can understand that the LCM of 506,354,779,654,361 is 144491180658.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 506, 354, 779, 654, 361

1. What is the LCM of 506, 354, 779, 654, 361?

Answer: LCM of 506, 354, 779, 654, 361 is 144491180658.

2. How to calculate the LCM of 506, 354, 779, 654, 361?

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 506, 354, 779, 654, 361.

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}.