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LCM of 149, 778, 116, 920

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


Find the LCM of 149, 778, 116, 920 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 149, 778, 116, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 149,778,116,920

Given numbers are 149,778,116,920

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

The LCM of 149,778,116,920 is 1546399480.

Find LCM of 149,778,116,920 with Prime Factorization


2 149, 778, 116, 920
2 149, 389, 58, 460
149, 389, 29, 230

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

2 x 2 x 149 x 389 x 29 x 230 = 1546399480

Therefore, the lowest common multiple of 149,778,116,920 is 1546399480.

LCM Formula to Find Lowest Common Multiple of 149,778,116,920

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.

149 x 778 x 116 x 920 = 12371195840

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.

149 : 1, 149

778 : 1, 2, 389, 778

116 : 1, 2, 4, 29, 58, 116

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,778,116,920, is 1.

Now, the common factors can be found like this.

149:149

778:2x 389

116:2x 2x 29

920:2x 2x 2x 5x 23

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 2 = 8

Therefore, the value for common factors is 8.

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 = 12371195840/(1x8)

LCM = 12371195840/8

LCM = 1546399480

Thus, we can understand that the LCM of 149,778,116,920 is 1546399480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 149, 778, 116, 920

1. What is the LCM of 149, 778, 116, 920?

Answer: LCM of 149, 778, 116, 920 is 1546399480.

2. How to calculate the LCM of 149, 778, 116, 920?

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 149, 778, 116, 920.

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}.