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LCM of 654, 924, 959, 560

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


Find the LCM of 654, 924, 959, 560 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 654, 924, 959, 560. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,924,959,560

Given numbers are 654,924,959,560

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

The LCM of 654,924,959,560 is 275961840.

Find LCM of 654,924,959,560 with Prime Factorization


2 654, 924, 959, 560
2 327, 462, 959, 280
3 327, 231, 959, 140
7 109, 77, 959, 140
109, 11, 137, 20

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

2 x 2 x 3 x 7 x 109 x 11 x 137 x 20 = 275961840

Therefore, the lowest common multiple of 654,924,959,560 is 275961840.

LCM Formula to Find Lowest Common Multiple of 654,924,959,560

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.

654 x 924 x 959 x 560 = 324531123840

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.

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

959 : 1, 7, 137, 959

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,924,959,560, is 1.

Now, the common factors can be found like this.

654:2x 3x 109

924:2x 2x 3x 7x 11

959:7x 137

560:2x 2x 2x 2x 5x 7

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 3x 7x 7 = 1176

Therefore, the value for common factors is 1176.

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 = 324531123840/(1x1176)

LCM = 324531123840/1176

LCM = 275961840

Thus, we can understand that the LCM of 654,924,959,560 is 275961840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 924, 959, 560

1. What is the LCM of 654, 924, 959, 560?

Answer: LCM of 654, 924, 959, 560 is 275961840.

2. How to calculate the LCM of 654, 924, 959, 560?

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 654, 924, 959, 560.

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}.