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LCM of 190, 940, 242, 124, 646

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


Find the LCM of 190, 940, 242, 124, 646 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 190, 940, 242, 124, 646. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 190,940,242,124,646

Given numbers are 190,940,242,124,646

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

The LCM of 190,940,242,124,646 is 1138878620.

Find LCM of 190,940,242,124,646 with Prime Factorization


2 190, 940, 242, 124, 646
2 95, 470, 121, 62, 323
5 95, 235, 121, 31, 323
19 19, 47, 121, 31, 323
1, 47, 121, 31, 17

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

2 x 2 x 5 x 19 x 1 x 47 x 121 x 31 x 17 = 1138878620

Therefore, the lowest common multiple of 190,940,242,124,646 is 1138878620.

LCM Formula to Find Lowest Common Multiple of 190,940,242,124,646

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.

190 x 940 x 242 x 124 x 646 = 3462191004800

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.

190 : 1, 2, 5, 10, 19, 38, 95, 190

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

242 : 1, 2, 11, 22, 121, 242

124 : 1, 2, 4, 31, 62, 124

646 : 1, 2, 17, 19, 34, 38, 323, 646

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,940,242,124,646, is 2.

Now, the common factors can be found like this.

190:2x 5x 19

940:2x 2x 5x 47

242:2x 11x 11

124:2x 2x 31

646:2x 17x 19

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 2x 5x 19 = 1520

Therefore, the value for common factors is 1520.

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 = 3462191004800/(2x1520)

LCM = 3462191004800/3040

LCM = 1138878620

Thus, we can understand that the LCM of 190,940,242,124,646 is 1138878620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 190, 940, 242, 124, 646

1. What is the LCM of 190, 940, 242, 124, 646?

Answer: LCM of 190, 940, 242, 124, 646 is 1138878620.

2. How to calculate the LCM of 190, 940, 242, 124, 646?

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 190, 940, 242, 124, 646.

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}.