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LCM of 649, 649, 916, 197

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


Find the LCM of 649, 649, 916, 197 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 649, 649, 916, 197. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 649,649,916,197

Given numbers are 649,649,916,197

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

The LCM of 649,649,916,197 is 117113348.

Find LCM of 649,649,916,197 with Prime Factorization


11 649, 649, 916, 197
59 59, 59, 916, 197
1, 1, 916, 197

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

11 x 59 x 1 x 1 x 916 x 197 = 117113348

Therefore, the lowest common multiple of 649,649,916,197 is 117113348.

LCM Formula to Find Lowest Common Multiple of 649,649,916,197

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.

649 x 649 x 916 x 197 = 76006562852

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.

649 : 1, 11, 59, 649

649 : 1, 11, 59, 649

916 : 1, 2, 4, 229, 458, 916

197 : 1, 197

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,649,916,197, is 1.

Now, the common factors can be found like this.

649:11x 59

649:11x 59

916:2x 2x 229

197:197

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

11x 59 = 649

Therefore, the value for common factors is 649.

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 = 76006562852/(1x649)

LCM = 76006562852/649

LCM = 117113348

Thus, we can understand that the LCM of 649,649,916,197 is 117113348.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 649, 649, 916, 197

1. What is the LCM of 649, 649, 916, 197?

Answer: LCM of 649, 649, 916, 197 is 117113348.

2. How to calculate the LCM of 649, 649, 916, 197?

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 649, 649, 916, 197.

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}.