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 123, 973, 328, 195, 695

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


Find the LCM of 123, 973, 328, 195, 695 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 123, 973, 328, 195, 695. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 123,973,328,195,695

Given numbers are 123,973,328,195,695

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

The LCM of 123,973,328,195,695 is 62233080.

Find LCM of 123,973,328,195,695 with Prime Factorization


3 123, 973, 328, 195, 695
5 41, 973, 328, 65, 695
41 41, 973, 328, 13, 139
139 1, 973, 8, 13, 139
1, 7, 8, 13, 1

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

3 x 5 x 41 x 139 x 1 x 7 x 8 x 13 x 1 = 62233080

Therefore, the lowest common multiple of 123,973,328,195,695 is 62233080.

LCM Formula to Find Lowest Common Multiple of 123,973,328,195,695

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.

123 x 973 x 328 x 195 x 695 = 5319994843800

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.

123 : 1, 3, 41, 123

973 : 1, 7, 139, 973

328 : 1, 2, 4, 8, 41, 82, 164, 328

195 : 1, 3, 5, 13, 15, 39, 65, 195

695 : 1, 5, 139, 695

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 123,973,328,195,695, is 1.

Now, the common factors can be found like this.

123:3x 41

973:7x 139

328:2x 2x 2x 41

195:3x 5x 13

695:5x 139

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

3x 5x 41x 139 = 85485

Therefore, the value for common factors is 85485.

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 = 5319994843800/(1x85485)

LCM = 5319994843800/85485

LCM = 62233080

Thus, we can understand that the LCM of 123,973,328,195,695 is 62233080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 123, 973, 328, 195, 695

1. What is the LCM of 123, 973, 328, 195, 695?

Answer: LCM of 123, 973, 328, 195, 695 is 62233080.

2. How to calculate the LCM of 123, 973, 328, 195, 695?

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 123, 973, 328, 195, 695.

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}.