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LCM of 628, 461, 157, 354

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


Find the LCM of 628, 461, 157, 354 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, 461, 157, 354. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 628,461,157,354

Given numbers are 628,461,157,354

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

The LCM of 628,461,157,354 is 51242916.

Find LCM of 628,461,157,354 with Prime Factorization


2 628, 461, 157, 354
157 314, 461, 157, 177
2, 461, 1, 177

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

2 x 157 x 2 x 461 x 1 x 177 = 51242916

Therefore, the lowest common multiple of 628,461,157,354 is 51242916.

LCM Formula to Find Lowest Common Multiple of 628,461,157,354

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 461 x 157 x 354 = 16090275624

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

461 : 1, 461

157 : 1, 157

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,461,157,354, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

461:461

157:157

354:2x 3x 59

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

2x 157 = 314

Therefore, the value for common factors is 314.

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 = 16090275624/(1x314)

LCM = 16090275624/314

LCM = 51242916

Thus, we can understand that the LCM of 628,461,157,354 is 51242916.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 628, 461, 157, 354

1. What is the LCM of 628, 461, 157, 354?

Answer: LCM of 628, 461, 157, 354 is 51242916.

2. How to calculate the LCM of 628, 461, 157, 354?

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, 461, 157, 354.

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}.