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LCM of 306, 844, 121, 938, 689

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


Find the LCM of 306, 844, 121, 938, 689 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 306, 844, 121, 938, 689. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 306,844,121,938,689

Given numbers are 306,844,121,938,689

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

The LCM of 306,844,121,938,689 is 5049069077052.

Find LCM of 306,844,121,938,689 with Prime Factorization


2 306, 844, 121, 938, 689
153, 422, 121, 469, 689

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

2 x 153 x 422 x 121 x 469 x 689 = 5049069077052

Therefore, the lowest common multiple of 306,844,121,938,689 is 5049069077052.

LCM Formula to Find Lowest Common Multiple of 306,844,121,938,689

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.

306 x 844 x 121 x 938 x 689 = 20196276308208

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

844 : 1, 2, 4, 211, 422, 844

121 : 1, 11, 121

938 : 1, 2, 7, 14, 67, 134, 469, 938

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,844,121,938,689, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

844:2x 2x 211

121:11x 11

938:2x 7x 67

689:13x 53

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 20196276308208/(1x4)

LCM = 20196276308208/4

LCM = 5049069077052

Thus, we can understand that the LCM of 306,844,121,938,689 is 5049069077052.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 306, 844, 121, 938, 689

1. What is the LCM of 306, 844, 121, 938, 689?

Answer: LCM of 306, 844, 121, 938, 689 is 5049069077052.

2. How to calculate the LCM of 306, 844, 121, 938, 689?

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 306, 844, 121, 938, 689.

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}.