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LCM of 119, 586, 858, 941

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


Find the LCM of 119, 586, 858, 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 119, 586, 858, 941. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 119,586,858,941

Given numbers are 119,586,858,941

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

The LCM of 119,586,858,941 is 28150848726.

Find LCM of 119,586,858,941 with Prime Factorization


2 119, 586, 858, 941
119, 293, 429, 941

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

2 x 119 x 293 x 429 x 941 = 28150848726

Therefore, the lowest common multiple of 119,586,858,941 is 28150848726.

LCM Formula to Find Lowest Common Multiple of 119,586,858,941

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.

119 x 586 x 858 x 941 = 56301697452

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.

119 : 1, 7, 17, 119

586 : 1, 2, 293, 586

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

941 : 1, 941

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,586,858,941, is 1.

Now, the common factors can be found like this.

119:7x 17

586:2x 293

858:2x 3x 11x 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.

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 = 56301697452/(1x2)

LCM = 56301697452/2

LCM = 28150848726

Thus, we can understand that the LCM of 119,586,858,941 is 28150848726.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 119, 586, 858, 941

1. What is the LCM of 119, 586, 858, 941?

Answer: LCM of 119, 586, 858, 941 is 28150848726.

2. How to calculate the LCM of 119, 586, 858, 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 119, 586, 858, 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}.