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LCM of 906, 506, 979, 149

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


Find the LCM of 906, 506, 979, 149 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 906, 506, 979, 149. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 906,506,979,149

Given numbers are 906,506,979,149

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

The LCM of 906,506,979,149 is 3039659898.

Find LCM of 906,506,979,149 with Prime Factorization


2 906, 506, 979, 149
11 453, 253, 979, 149
453, 23, 89, 149

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

2 x 11 x 453 x 23 x 89 x 149 = 3039659898

Therefore, the lowest common multiple of 906,506,979,149 is 3039659898.

LCM Formula to Find Lowest Common Multiple of 906,506,979,149

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.

906 x 506 x 979 x 149 = 66872517756

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.

906 : 1, 2, 3, 6, 151, 302, 453, 906

506 : 1, 2, 11, 22, 23, 46, 253, 506

979 : 1, 11, 89, 979

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,506,979,149, is 1.

Now, the common factors can be found like this.

906:2x 3x 151

506:2x 11x 23

979:11x 89

149:149

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 66872517756/(1x22)

LCM = 66872517756/22

LCM = 3039659898

Thus, we can understand that the LCM of 906,506,979,149 is 3039659898.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 906, 506, 979, 149

1. What is the LCM of 906, 506, 979, 149?

Answer: LCM of 906, 506, 979, 149 is 3039659898.

2. How to calculate the LCM of 906, 506, 979, 149?

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 906, 506, 979, 149.

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}.