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LCM of 695, 779, 243, 565, 950

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


Find the LCM of 695, 779, 243, 565, 950 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 695, 779, 243, 565, 950. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 695,779,243,565,950

Given numbers are 695,779,243,565,950

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

The LCM of 695,779,243,565,950 is 148664398950.

Find LCM of 695,779,243,565,950 with Prime Factorization


5 695, 779, 243, 565, 950
19 139, 779, 243, 113, 190
139, 41, 243, 113, 10

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

5 x 19 x 139 x 41 x 243 x 113 x 10 = 148664398950

Therefore, the lowest common multiple of 695,779,243,565,950 is 148664398950.

LCM Formula to Find Lowest Common Multiple of 695,779,243,565,950

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.

695 x 779 x 243 x 565 x 950 = 70615589501250

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.

695 : 1, 5, 139, 695

779 : 1, 19, 41, 779

243 : 1, 3, 9, 27, 81, 243

565 : 1, 5, 113, 565

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,779,243,565,950, is 1.

Now, the common factors can be found like this.

695:5x 139

779:19x 41

243:3x 3x 3x 3x 3

565:5x 113

950:2x 5x 5x 19

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

5x 5x 19 = 475

Therefore, the value for common factors is 475.

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 = 70615589501250/(1x475)

LCM = 70615589501250/475

LCM = 148664398950

Thus, we can understand that the LCM of 695,779,243,565,950 is 148664398950.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 695, 779, 243, 565, 950

1. What is the LCM of 695, 779, 243, 565, 950?

Answer: LCM of 695, 779, 243, 565, 950 is 148664398950.

2. How to calculate the LCM of 695, 779, 243, 565, 950?

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 695, 779, 243, 565, 950.

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}.