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LCM of 137, 229, 502, 168, 820

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


Find the LCM of 137, 229, 502, 168, 820 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 137, 229, 502, 168, 820. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 137,229,502,168,820

Given numbers are 137,229,502,168,820

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

The LCM of 137,229,502,168,820 is 271202016120.

Find LCM of 137,229,502,168,820 with Prime Factorization


2 137, 229, 502, 168, 820
2 137, 229, 251, 84, 410
137, 229, 251, 42, 205

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

2 x 2 x 137 x 229 x 251 x 42 x 205 = 271202016120

Therefore, the lowest common multiple of 137,229,502,168,820 is 271202016120.

LCM Formula to Find Lowest Common Multiple of 137,229,502,168,820

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.

137 x 229 x 502 x 168 x 820 = 2169616128960

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.

137 : 1, 137

229 : 1, 229

502 : 1, 2, 251, 502

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,229,502,168,820, is 1.

Now, the common factors can be found like this.

137:137

229:229

502:2x 251

168:2x 2x 2x 3x 7

820:2x 2x 5x 41

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 = 2169616128960/(1x8)

LCM = 2169616128960/8

LCM = 271202016120

Thus, we can understand that the LCM of 137,229,502,168,820 is 271202016120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 137, 229, 502, 168, 820

1. What is the LCM of 137, 229, 502, 168, 820?

Answer: LCM of 137, 229, 502, 168, 820 is 271202016120.

2. How to calculate the LCM of 137, 229, 502, 168, 820?

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 137, 229, 502, 168, 820.

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}.