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LCM of 121, 767, 876, 950, 292

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


Find the LCM of 121, 767, 876, 950, 292 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 121, 767, 876, 950, 292. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 121,767,876,950,292

Given numbers are 121,767,876,950,292

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

The LCM of 121,767,876,950,292 is 38616992700.

Find LCM of 121,767,876,950,292 with Prime Factorization


2 121, 767, 876, 950, 292
2 121, 767, 438, 475, 146
73 121, 767, 219, 475, 73
121, 767, 3, 475, 1

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

2 x 2 x 73 x 121 x 767 x 3 x 475 x 1 = 38616992700

Therefore, the lowest common multiple of 121,767,876,950,292 is 38616992700.

LCM Formula to Find Lowest Common Multiple of 121,767,876,950,292

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.

121 x 767 x 876 x 950 x 292 = 22552323736800

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.

121 : 1, 11, 121

767 : 1, 13, 59, 767

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

292 : 1, 2, 4, 73, 146, 292

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,767,876,950,292, is 1.

Now, the common factors can be found like this.

121:11x 11

767:13x 59

876:2x 2x 3x 73

950:2x 5x 5x 19

292:2x 2x 73

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 2x 73 = 584

Therefore, the value for common factors is 584.

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 = 22552323736800/(1x584)

LCM = 22552323736800/584

LCM = 38616992700

Thus, we can understand that the LCM of 121,767,876,950,292 is 38616992700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 121, 767, 876, 950, 292

1. What is the LCM of 121, 767, 876, 950, 292?

Answer: LCM of 121, 767, 876, 950, 292 is 38616992700.

2. How to calculate the LCM of 121, 767, 876, 950, 292?

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 121, 767, 876, 950, 292.

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}.