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LCM of 527, 535, 341, 994, 124

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


Find the LCM of 527, 535, 341, 994, 124 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, 535, 341, 994, 124. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 527,535,341,994,124

Given numbers are 527,535,341,994,124

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

The LCM of 527,535,341,994,124 is 6165573260.

Find LCM of 527,535,341,994,124 with Prime Factorization


2 527, 535, 341, 994, 124
31 527, 535, 341, 497, 62
17, 535, 11, 497, 2

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

2 x 31 x 17 x 535 x 11 x 497 x 2 = 6165573260

Therefore, the lowest common multiple of 527,535,341,994,124 is 6165573260.

LCM Formula to Find Lowest Common Multiple of 527,535,341,994,124

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 535 x 341 x 994 x 124 = 11850231805720

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

535 : 1, 5, 107, 535

341 : 1, 11, 31, 341

994 : 1, 2, 7, 14, 71, 142, 497, 994

124 : 1, 2, 4, 31, 62, 124

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,535,341,994,124, is 1.

Now, the common factors can be found like this.

527:17x 31

535:5x 107

341:11x 31

994:2x 7x 71

124:2x 2x 31

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

2x 31x 31 = 1922

Therefore, the value for common factors is 1922.

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 = 11850231805720/(1x1922)

LCM = 11850231805720/1922

LCM = 6165573260

Thus, we can understand that the LCM of 527,535,341,994,124 is 6165573260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 527, 535, 341, 994, 124

1. What is the LCM of 527, 535, 341, 994, 124?

Answer: LCM of 527, 535, 341, 994, 124 is 6165573260.

2. How to calculate the LCM of 527, 535, 341, 994, 124?

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, 535, 341, 994, 124.

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}.