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LCM of 262, 230, 961, 637, 743

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


Find the LCM of 262, 230, 961, 637, 743 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 262, 230, 961, 637, 743. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 262,230,961,637,743

Given numbers are 262,230,961,637,743

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

The LCM of 262,230,961,637,743 is 13704107774630.

Find LCM of 262,230,961,637,743 with Prime Factorization


2 262, 230, 961, 637, 743
131, 115, 961, 637, 743

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

2 x 131 x 115 x 961 x 637 x 743 = 13704107774630

Therefore, the lowest common multiple of 262,230,961,637,743 is 13704107774630.

LCM Formula to Find Lowest Common Multiple of 262,230,961,637,743

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.

262 x 230 x 961 x 637 x 743 = 27408215549260

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.

262 : 1, 2, 131, 262

230 : 1, 2, 5, 10, 23, 46, 115, 230

961 : 1, 31, 961

637 : 1, 7, 13, 49, 91, 637

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,230,961,637,743, is 1.

Now, the common factors can be found like this.

262:2x 131

230:2x 5x 23

961:31x 31

637:7x 7x 13

743:743

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

2 = 2

Therefore, the value for common factors is 2.

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 = 27408215549260/(1x2)

LCM = 27408215549260/2

LCM = 13704107774630

Thus, we can understand that the LCM of 262,230,961,637,743 is 13704107774630.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 262, 230, 961, 637, 743

1. What is the LCM of 262, 230, 961, 637, 743?

Answer: LCM of 262, 230, 961, 637, 743 is 13704107774630.

2. How to calculate the LCM of 262, 230, 961, 637, 743?

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 262, 230, 961, 637, 743.

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}.