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LCM of 249, 641, 748, 507, 941

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


Find the LCM of 249, 641, 748, 507, 941 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 249, 641, 748, 507, 941. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 249,641,748,507,941

Given numbers are 249,641,748,507,941

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

The LCM of 249,641,748,507,941 is 18986079826428.

Find LCM of 249,641,748,507,941 with Prime Factorization


3 249, 641, 748, 507, 941
83, 641, 748, 169, 941

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

3 x 83 x 641 x 748 x 169 x 941 = 18986079826428

Therefore, the lowest common multiple of 249,641,748,507,941 is 18986079826428.

LCM Formula to Find Lowest Common Multiple of 249,641,748,507,941

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.

249 x 641 x 748 x 507 x 941 = 56958239479284

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.

249 : 1, 3, 83, 249

641 : 1, 641

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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

941 : 1, 941

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,641,748,507,941, is 1.

Now, the common factors can be found like this.

249:3x 83

641:641

748:2x 2x 11x 17

507:3x 13x 13

941:941

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

3 = 3

Therefore, the value for common factors is 3.

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 = 56958239479284/(1x3)

LCM = 56958239479284/3

LCM = 18986079826428

Thus, we can understand that the LCM of 249,641,748,507,941 is 18986079826428.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 249, 641, 748, 507, 941

1. What is the LCM of 249, 641, 748, 507, 941?

Answer: LCM of 249, 641, 748, 507, 941 is 18986079826428.

2. How to calculate the LCM of 249, 641, 748, 507, 941?

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 249, 641, 748, 507, 941.

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}.