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LCM of 901, 977, 136, 610

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


Find the LCM of 901, 977, 136, 610 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 901, 977, 136, 610. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,977,136,610

Given numbers are 901,977,136,610

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

The LCM of 901,977,136,610 is 2147875880.

Find LCM of 901,977,136,610 with Prime Factorization


2 901, 977, 136, 610
17 901, 977, 68, 305
53, 977, 4, 305

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

2 x 17 x 53 x 977 x 4 x 305 = 2147875880

Therefore, the lowest common multiple of 901,977,136,610 is 2147875880.

LCM Formula to Find Lowest Common Multiple of 901,977,136,610

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.

901 x 977 x 136 x 610 = 73027779920

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.

901 : 1, 17, 53, 901

977 : 1, 977

136 : 1, 2, 4, 8, 17, 34, 68, 136

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,977,136,610, is 1.

Now, the common factors can be found like this.

901:17x 53

977:977

136:2x 2x 2x 17

610:2x 5x 61

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 73027779920/(1x34)

LCM = 73027779920/34

LCM = 2147875880

Thus, we can understand that the LCM of 901,977,136,610 is 2147875880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 977, 136, 610

1. What is the LCM of 901, 977, 136, 610?

Answer: LCM of 901, 977, 136, 610 is 2147875880.

2. How to calculate the LCM of 901, 977, 136, 610?

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 901, 977, 136, 610.

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}.