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LCM of 926, 637, 943, 123, 723

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


Find the LCM of 926, 637, 943, 123, 723 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 926, 637, 943, 123, 723. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 926,637,943,123,723

Given numbers are 926,637,943,123,723

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

The LCM of 926,637,943,123,723 is 402161423118.

Find LCM of 926,637,943,123,723 with Prime Factorization


3 926, 637, 943, 123, 723
41 926, 637, 943, 41, 241
926, 637, 23, 1, 241

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

3 x 41 x 926 x 637 x 23 x 1 x 241 = 402161423118

Therefore, the lowest common multiple of 926,637,943,123,723 is 402161423118.

LCM Formula to Find Lowest Common Multiple of 926,637,943,123,723

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.

926 x 637 x 943 x 123 x 723 = 49465855043514

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.

926 : 1, 2, 463, 926

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

943 : 1, 23, 41, 943

123 : 1, 3, 41, 123

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,637,943,123,723, is 1.

Now, the common factors can be found like this.

926:2x 463

637:7x 7x 13

943:23x 41

123:3x 41

723:3x 241

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

3x 41 = 123

Therefore, the value for common factors is 123.

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 = 49465855043514/(1x123)

LCM = 49465855043514/123

LCM = 402161423118

Thus, we can understand that the LCM of 926,637,943,123,723 is 402161423118.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 926, 637, 943, 123, 723

1. What is the LCM of 926, 637, 943, 123, 723?

Answer: LCM of 926, 637, 943, 123, 723 is 402161423118.

2. How to calculate the LCM of 926, 637, 943, 123, 723?

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 926, 637, 943, 123, 723.

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}.