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LCM of 254, 606, 753, 560

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


Find the LCM of 254, 606, 753, 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 254, 606, 753, 560. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 254,606,753,560

Given numbers are 254,606,753,560

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

The LCM of 254,606,753,560 is 5408889360.

Find LCM of 254,606,753,560 with Prime Factorization


2 254, 606, 753, 560
3 127, 303, 753, 280
127, 101, 251, 280

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

2 x 3 x 127 x 101 x 251 x 280 = 5408889360

Therefore, the lowest common multiple of 254,606,753,560 is 5408889360.

LCM Formula to Find Lowest Common Multiple of 254,606,753,560

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.

254 x 606 x 753 x 560 = 64906672320

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.

254 : 1, 2, 127, 254

606 : 1, 2, 3, 6, 101, 202, 303, 606

753 : 1, 3, 251, 753

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 254,606,753,560, is 1.

Now, the common factors can be found like this.

254:2x 127

606:2x 3x 101

753:3x 251

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 3 = 12

Therefore, the value for common factors is 12.

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 = 64906672320/(1x12)

LCM = 64906672320/12

LCM = 5408889360

Thus, we can understand that the LCM of 254,606,753,560 is 5408889360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 254, 606, 753, 560

1. What is the LCM of 254, 606, 753, 560?

Answer: LCM of 254, 606, 753, 560 is 5408889360.

2. How to calculate the LCM of 254, 606, 753, 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 254, 606, 753, 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}.