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LCM of 527, 399, 102, 354

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


Find the LCM of 527, 399, 102, 354 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 527, 399, 102, 354. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 527,399,102,354

Given numbers are 527,399,102,354

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

The LCM of 527,399,102,354 is 24812214.

Find LCM of 527,399,102,354 with Prime Factorization


2 527, 399, 102, 354
3 527, 399, 51, 177
17 527, 133, 17, 59
31, 133, 1, 59

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

2 x 3 x 17 x 31 x 133 x 1 x 59 = 24812214

Therefore, the lowest common multiple of 527,399,102,354 is 24812214.

LCM Formula to Find Lowest Common Multiple of 527,399,102,354

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.

527 x 399 x 102 x 354 = 7592537484

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.

527 : 1, 17, 31, 527

399 : 1, 3, 7, 19, 21, 57, 133, 399

102 : 1, 2, 3, 6, 17, 34, 51, 102

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,399,102,354, is 1.

Now, the common factors can be found like this.

527:17x 31

399:3x 7x 19

102:2x 3x 17

354:2x 3x 59

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

2x 3x 3x 17 = 306

Therefore, the value for common factors is 306.

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 = 7592537484/(1x306)

LCM = 7592537484/306

LCM = 24812214

Thus, we can understand that the LCM of 527,399,102,354 is 24812214.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 527, 399, 102, 354

1. What is the LCM of 527, 399, 102, 354?

Answer: LCM of 527, 399, 102, 354 is 24812214.

2. How to calculate the LCM of 527, 399, 102, 354?

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 527, 399, 102, 354.

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}.