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LCM of 650, 607, 156, 465

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


Find the LCM of 650, 607, 156, 465 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 650, 607, 156, 465. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 650,607,156,465

Given numbers are 650,607,156,465

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

The LCM of 650,607,156,465 is 73386300.

Find LCM of 650,607,156,465 with Prime Factorization


2 650, 607, 156, 465
3 325, 607, 78, 465
5 325, 607, 26, 155
13 65, 607, 26, 31
5, 607, 2, 31

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

2 x 3 x 5 x 13 x 5 x 607 x 2 x 31 = 73386300

Therefore, the lowest common multiple of 650,607,156,465 is 73386300.

LCM Formula to Find Lowest Common Multiple of 650,607,156,465

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.

650 x 607 x 156 x 465 = 28620657000

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.

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

607 : 1, 607

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,607,156,465, is 1.

Now, the common factors can be found like this.

650:2x 5x 5x 13

607:607

156:2x 2x 3x 13

465:3x 5x 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 3x 5x 13 = 390

Therefore, the value for common factors is 390.

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 = 28620657000/(1x390)

LCM = 28620657000/390

LCM = 73386300

Thus, we can understand that the LCM of 650,607,156,465 is 73386300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 650, 607, 156, 465

1. What is the LCM of 650, 607, 156, 465?

Answer: LCM of 650, 607, 156, 465 is 73386300.

2. How to calculate the LCM of 650, 607, 156, 465?

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 650, 607, 156, 465.

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}.