LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 149, 348, 116, 650, 961

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


Find the LCM of 149, 348, 116, 650, 961 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 149, 348, 116, 650, 961. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 149,348,116,650,961

Given numbers are 149,348,116,650,961

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

The LCM of 149,348,116,650,961 is 16194675900.

Find LCM of 149,348,116,650,961 with Prime Factorization


2 149, 348, 116, 650, 961
2 149, 174, 58, 325, 961
29 149, 87, 29, 325, 961
149, 3, 1, 325, 961

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

2 x 2 x 29 x 149 x 3 x 1 x 325 x 961 = 16194675900

Therefore, the lowest common multiple of 149,348,116,650,961 is 16194675900.

LCM Formula to Find Lowest Common Multiple of 149,348,116,650,961

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.

149 x 348 x 116 x 650 x 961 = 3757164808800

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.

149 : 1, 149

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

116 : 1, 2, 4, 29, 58, 116

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,348,116,650,961, is 1.

Now, the common factors can be found like this.

149:149

348:2x 2x 3x 29

116:2x 2x 29

650:2x 5x 5x 13

961:31x 31

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

2x 2x 2x 29 = 232

Therefore, the value for common factors is 232.

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 = 3757164808800/(1x232)

LCM = 3757164808800/232

LCM = 16194675900

Thus, we can understand that the LCM of 149,348,116,650,961 is 16194675900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 149, 348, 116, 650, 961

1. What is the LCM of 149, 348, 116, 650, 961?

Answer: LCM of 149, 348, 116, 650, 961 is 16194675900.

2. How to calculate the LCM of 149, 348, 116, 650, 961?

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 149, 348, 116, 650, 961.

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}.