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LCM of 121, 341, 740, 198, 424

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


Find the LCM of 121, 341, 740, 198, 424 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, 341, 740, 198, 424. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 121,341,740,198,424

Given numbers are 121,341,740,198,424

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

The LCM of 121,341,740,198,424 is 2648055960.

Find LCM of 121,341,740,198,424 with Prime Factorization


2 121, 341, 740, 198, 424
2 121, 341, 370, 99, 212
11 121, 341, 185, 99, 106
11, 31, 185, 9, 106

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

2 x 2 x 11 x 11 x 31 x 185 x 9 x 106 = 2648055960

Therefore, the lowest common multiple of 121,341,740,198,424 is 2648055960.

LCM Formula to Find Lowest Common Multiple of 121,341,740,198,424

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 341 x 740 x 198 x 424 = 2563318169280

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

341 : 1, 11, 31, 341

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,341,740,198,424, is 1.

Now, the common factors can be found like this.

121:11x 11

341:11x 31

740:2x 2x 5x 37

198:2x 3x 3x 11

424:2x 2x 2x 53

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 11x 11 = 968

Therefore, the value for common factors is 968.

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 = 2563318169280/(1x968)

LCM = 2563318169280/968

LCM = 2648055960

Thus, we can understand that the LCM of 121,341,740,198,424 is 2648055960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 121, 341, 740, 198, 424

1. What is the LCM of 121, 341, 740, 198, 424?

Answer: LCM of 121, 341, 740, 198, 424 is 2648055960.

2. How to calculate the LCM of 121, 341, 740, 198, 424?

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, 341, 740, 198, 424.

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}.