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LCM of 575, 412, 236, 649, 922

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


Find the LCM of 575, 412, 236, 649, 922 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 575, 412, 236, 649, 922. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 575,412,236,649,922

Given numbers are 575,412,236,649,922

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

The LCM of 575,412,236,649,922 is 70877874100.

Find LCM of 575,412,236,649,922 with Prime Factorization


2 575, 412, 236, 649, 922
2 575, 206, 118, 649, 461
59 575, 103, 59, 649, 461
575, 103, 1, 11, 461

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

2 x 2 x 59 x 575 x 103 x 1 x 11 x 461 = 70877874100

Therefore, the lowest common multiple of 575,412,236,649,922 is 70877874100.

LCM Formula to Find Lowest Common Multiple of 575,412,236,649,922

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.

575 x 412 x 236 x 649 x 922 = 33454356575200

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.

575 : 1, 5, 23, 25, 115, 575

412 : 1, 2, 4, 103, 206, 412

236 : 1, 2, 4, 59, 118, 236

649 : 1, 11, 59, 649

922 : 1, 2, 461, 922

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,412,236,649,922, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

412:2x 2x 103

236:2x 2x 59

649:11x 59

922:2x 461

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 59 = 472

Therefore, the value for common factors is 472.

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 = 33454356575200/(1x472)

LCM = 33454356575200/472

LCM = 70877874100

Thus, we can understand that the LCM of 575,412,236,649,922 is 70877874100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 575, 412, 236, 649, 922

1. What is the LCM of 575, 412, 236, 649, 922?

Answer: LCM of 575, 412, 236, 649, 922 is 70877874100.

2. How to calculate the LCM of 575, 412, 236, 649, 922?

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 575, 412, 236, 649, 922.

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}.