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LCM of 524, 656, 975, 551

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


Find the LCM of 524, 656, 975, 551 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 524, 656, 975, 551. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 524,656,975,551

Given numbers are 524,656,975,551

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

The LCM of 524,656,975,551 is 46166967600.

Find LCM of 524,656,975,551 with Prime Factorization


2 524, 656, 975, 551
2 262, 328, 975, 551
131, 164, 975, 551

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

2 x 2 x 131 x 164 x 975 x 551 = 46166967600

Therefore, the lowest common multiple of 524,656,975,551 is 46166967600.

LCM Formula to Find Lowest Common Multiple of 524,656,975,551

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.

524 x 656 x 975 x 551 = 184667870400

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.

524 : 1, 2, 4, 131, 262, 524

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

551 : 1, 19, 29, 551

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,656,975,551, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

656:2x 2x 2x 2x 41

975:3x 5x 5x 13

551:19x 29

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 184667870400/(1x4)

LCM = 184667870400/4

LCM = 46166967600

Thus, we can understand that the LCM of 524,656,975,551 is 46166967600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 524, 656, 975, 551

1. What is the LCM of 524, 656, 975, 551?

Answer: LCM of 524, 656, 975, 551 is 46166967600.

2. How to calculate the LCM of 524, 656, 975, 551?

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 524, 656, 975, 551.

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}.