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LCM of 408, 193, 553, 965, 137

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


Find the LCM of 408, 193, 553, 965, 137 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 408, 193, 553, 965, 137. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 408,193,553,965,137

Given numbers are 408,193,553,965,137

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

The LCM of 408,193,553,965,137 is 29828620920.

Find LCM of 408,193,553,965,137 with Prime Factorization


193 408, 193, 553, 965, 137
408, 1, 553, 5, 137

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

193 x 408 x 1 x 553 x 5 x 137 = 29828620920

Therefore, the lowest common multiple of 408,193,553,965,137 is 29828620920.

LCM Formula to Find Lowest Common Multiple of 408,193,553,965,137

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.

408 x 193 x 553 x 965 x 137 = 5756923837560

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

193 : 1, 193

553 : 1, 7, 79, 553

965 : 1, 5, 193, 965

137 : 1, 137

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,193,553,965,137, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

193:193

553:7x 79

965:5x 193

137:137

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

193 = 193

Therefore, the value for common factors is 193.

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 = 5756923837560/(1x193)

LCM = 5756923837560/193

LCM = 29828620920

Thus, we can understand that the LCM of 408,193,553,965,137 is 29828620920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 408, 193, 553, 965, 137

1. What is the LCM of 408, 193, 553, 965, 137?

Answer: LCM of 408, 193, 553, 965, 137 is 29828620920.

2. How to calculate the LCM of 408, 193, 553, 965, 137?

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 408, 193, 553, 965, 137.

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}.