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LCM of 941, 886, 558, 336

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


Find the LCM of 941, 886, 558, 336 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 941, 886, 558, 336. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 941,886,558,336

Given numbers are 941,886,558,336

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

The LCM of 941,886,558,336 is 13026135024.

Find LCM of 941,886,558,336 with Prime Factorization


2 941, 886, 558, 336
3 941, 443, 279, 168
941, 443, 93, 56

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

2 x 3 x 941 x 443 x 93 x 56 = 13026135024

Therefore, the lowest common multiple of 941,886,558,336 is 13026135024.

LCM Formula to Find Lowest Common Multiple of 941,886,558,336

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.

941 x 886 x 558 x 336 = 156313620288

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.

941 : 1, 941

886 : 1, 2, 443, 886

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,886,558,336, is 1.

Now, the common factors can be found like this.

941:941

886:2x 443

558:2x 3x 3x 31

336:2x 2x 2x 2x 3x 7

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 3 = 12

Therefore, the value for common factors is 12.

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 = 156313620288/(1x12)

LCM = 156313620288/12

LCM = 13026135024

Thus, we can understand that the LCM of 941,886,558,336 is 13026135024.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 941, 886, 558, 336

1. What is the LCM of 941, 886, 558, 336?

Answer: LCM of 941, 886, 558, 336 is 13026135024.

2. How to calculate the LCM of 941, 886, 558, 336?

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 941, 886, 558, 336.

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}.