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LCM of 909, 283, 101, 677

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


Find the LCM of 909, 283, 101, 677 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 909, 283, 101, 677. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 909,283,101,677

Given numbers are 909,283,101,677

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

The LCM of 909,283,101,677 is 174156219.

Find LCM of 909,283,101,677 with Prime Factorization


101 909, 283, 101, 677
9, 283, 1, 677

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

101 x 9 x 283 x 1 x 677 = 174156219

Therefore, the lowest common multiple of 909,283,101,677 is 174156219.

LCM Formula to Find Lowest Common Multiple of 909,283,101,677

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.

909 x 283 x 101 x 677 = 17589778119

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.

909 : 1, 3, 9, 101, 303, 909

283 : 1, 283

101 : 1, 101

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,283,101,677, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

283:283

101:101

677:677

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

101 = 101

Therefore, the value for common factors is 101.

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 = 17589778119/(1x101)

LCM = 17589778119/101

LCM = 174156219

Thus, we can understand that the LCM of 909,283,101,677 is 174156219.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 909, 283, 101, 677

1. What is the LCM of 909, 283, 101, 677?

Answer: LCM of 909, 283, 101, 677 is 174156219.

2. How to calculate the LCM of 909, 283, 101, 677?

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 909, 283, 101, 677.

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}.