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LCM of 121, 337, 228, 152, 862

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


Find the LCM of 121, 337, 228, 152, 862 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, 337, 228, 152, 862. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 121,337,228,152,862

Given numbers are 121,337,228,152,862

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

The LCM of 121,337,228,152,862 is 8014148472.

Find LCM of 121,337,228,152,862 with Prime Factorization


2 121, 337, 228, 152, 862
2 121, 337, 114, 76, 431
19 121, 337, 57, 38, 431
121, 337, 3, 2, 431

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

2 x 2 x 19 x 121 x 337 x 3 x 2 x 431 = 8014148472

Therefore, the lowest common multiple of 121,337,228,152,862 is 8014148472.

LCM Formula to Find Lowest Common Multiple of 121,337,228,152,862

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 337 x 228 x 152 x 862 = 1218150567744

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

337 : 1, 337

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

152 : 1, 2, 4, 8, 19, 38, 76, 152

862 : 1, 2, 431, 862

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,337,228,152,862, is 1.

Now, the common factors can be found like this.

121:11x 11

337:337

228:2x 2x 3x 19

152:2x 2x 2x 19

862:2x 431

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 19 = 152

Therefore, the value for common factors is 152.

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 = 1218150567744/(1x152)

LCM = 1218150567744/152

LCM = 8014148472

Thus, we can understand that the LCM of 121,337,228,152,862 is 8014148472.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 121, 337, 228, 152, 862

1. What is the LCM of 121, 337, 228, 152, 862?

Answer: LCM of 121, 337, 228, 152, 862 is 8014148472.

2. How to calculate the LCM of 121, 337, 228, 152, 862?

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, 337, 228, 152, 862.

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}.