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LCM of 628, 611, 325, 507

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


Find the LCM of 628, 611, 325, 507 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 628, 611, 325, 507. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 628,611,325,507

Given numbers are 628,611,325,507

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

The LCM of 628,611,325,507 is 374115300.

Find LCM of 628,611,325,507 with Prime Factorization


13 628, 611, 325, 507
628, 47, 25, 39

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

13 x 628 x 47 x 25 x 39 = 374115300

Therefore, the lowest common multiple of 628,611,325,507 is 374115300.

LCM Formula to Find Lowest Common Multiple of 628,611,325,507

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.

628 x 611 x 325 x 507 = 63225485700

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.

628 : 1, 2, 4, 157, 314, 628

611 : 1, 13, 47, 611

325 : 1, 5, 13, 25, 65, 325

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,611,325,507, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

611:13x 47

325:5x 5x 13

507:3x 13x 13

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 63225485700/(1x169)

LCM = 63225485700/169

LCM = 374115300

Thus, we can understand that the LCM of 628,611,325,507 is 374115300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 628, 611, 325, 507

1. What is the LCM of 628, 611, 325, 507?

Answer: LCM of 628, 611, 325, 507 is 374115300.

2. How to calculate the LCM of 628, 611, 325, 507?

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 628, 611, 325, 507.

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}.