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LCM of 627, 989, 314, 520, 235

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


Find the LCM of 627, 989, 314, 520, 235 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 627, 989, 314, 520, 235. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 627,989,314,520,235

Given numbers are 627,989,314,520,235

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

The LCM of 627,989,314,520,235 is 2379384819240.

Find LCM of 627,989,314,520,235 with Prime Factorization


2 627, 989, 314, 520, 235
5 627, 989, 157, 260, 235
627, 989, 157, 52, 47

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

2 x 5 x 627 x 989 x 157 x 52 x 47 = 2379384819240

Therefore, the lowest common multiple of 627,989,314,520,235 is 2379384819240.

LCM Formula to Find Lowest Common Multiple of 627,989,314,520,235

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.

627 x 989 x 314 x 520 x 235 = 23793848192400

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.

627 : 1, 3, 11, 19, 33, 57, 209, 627

989 : 1, 23, 43, 989

314 : 1, 2, 157, 314

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,989,314,520,235, is 1.

Now, the common factors can be found like this.

627:3x 11x 19

989:23x 43

314:2x 157

520:2x 2x 2x 5x 13

235:5x 47

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 23793848192400/(1x10)

LCM = 23793848192400/10

LCM = 2379384819240

Thus, we can understand that the LCM of 627,989,314,520,235 is 2379384819240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 627, 989, 314, 520, 235

1. What is the LCM of 627, 989, 314, 520, 235?

Answer: LCM of 627, 989, 314, 520, 235 is 2379384819240.

2. How to calculate the LCM of 627, 989, 314, 520, 235?

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 627, 989, 314, 520, 235.

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}.