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LCM of 436, 241, 963, 766, 766

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


Find the LCM of 436, 241, 963, 766, 766 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 436, 241, 963, 766, 766. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 436,241,963,766,766

Given numbers are 436,241,963,766,766

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

The LCM of 436,241,963,766,766 is 38755076004.

Find LCM of 436,241,963,766,766 with Prime Factorization


2 436, 241, 963, 766, 766
383 218, 241, 963, 383, 383
218, 241, 963, 1, 1

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

2 x 383 x 218 x 241 x 963 x 1 x 1 = 38755076004

Therefore, the lowest common multiple of 436,241,963,766,766 is 38755076004.

LCM Formula to Find Lowest Common Multiple of 436,241,963,766,766

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.

436 x 241 x 963 x 766 x 766 = 59372776438128

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.

436 : 1, 2, 4, 109, 218, 436

241 : 1, 241

963 : 1, 3, 9, 107, 321, 963

766 : 1, 2, 383, 766

766 : 1, 2, 383, 766

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,241,963,766,766, is 1.

Now, the common factors can be found like this.

436:2x 2x 109

241:241

963:3x 3x 107

766:2x 383

766:2x 383

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 383 = 1532

Therefore, the value for common factors is 1532.

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 = 59372776438128/(1x1532)

LCM = 59372776438128/1532

LCM = 38755076004

Thus, we can understand that the LCM of 436,241,963,766,766 is 38755076004.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 436, 241, 963, 766, 766

1. What is the LCM of 436, 241, 963, 766, 766?

Answer: LCM of 436, 241, 963, 766, 766 is 38755076004.

2. How to calculate the LCM of 436, 241, 963, 766, 766?

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 436, 241, 963, 766, 766.

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}.