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LCM of 254, 564, 507, 572, 305

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


Find the LCM of 254, 564, 507, 572, 305 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, 564, 507, 572, 305. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 254,564,507,572,305

Given numbers are 254,564,507,572,305

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

The LCM of 254,564,507,572,305 is 40612717860.

Find LCM of 254,564,507,572,305 with Prime Factorization


2 254, 564, 507, 572, 305
2 127, 282, 507, 286, 305
3 127, 141, 507, 143, 305
13 127, 47, 169, 143, 305
127, 47, 13, 11, 305

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

2 x 2 x 3 x 13 x 127 x 47 x 13 x 11 x 305 = 40612717860

Therefore, the lowest common multiple of 254,564,507,572,305 is 40612717860.

LCM Formula to Find Lowest Common Multiple of 254,564,507,572,305

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 564 x 507 x 572 x 305 = 12671167972320

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

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

507 : 1, 3, 13, 39, 169, 507

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,564,507,572,305, is 1.

Now, the common factors can be found like this.

254:2x 127

564:2x 2x 3x 47

507:3x 13x 13

572:2x 2x 11x 13

305:5x 61

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 13 = 312

Therefore, the value for common factors is 312.

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 = 12671167972320/(1x312)

LCM = 12671167972320/312

LCM = 40612717860

Thus, we can understand that the LCM of 254,564,507,572,305 is 40612717860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 254, 564, 507, 572, 305

1. What is the LCM of 254, 564, 507, 572, 305?

Answer: LCM of 254, 564, 507, 572, 305 is 40612717860.

2. How to calculate the LCM of 254, 564, 507, 572, 305?

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, 564, 507, 572, 305.

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}.