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LCM of 719, 220, 310, 739, 377

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


Find the LCM of 719, 220, 310, 739, 377 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 719, 220, 310, 739, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 719,220,310,739,377

Given numbers are 719,220,310,739,377

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

The LCM of 719,220,310,739,377 is 1366152098740.

Find LCM of 719,220,310,739,377 with Prime Factorization


2 719, 220, 310, 739, 377
5 719, 110, 155, 739, 377
719, 22, 31, 739, 377

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

2 x 5 x 719 x 22 x 31 x 739 x 377 = 1366152098740

Therefore, the lowest common multiple of 719,220,310,739,377 is 1366152098740.

LCM Formula to Find Lowest Common Multiple of 719,220,310,739,377

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.

719 x 220 x 310 x 739 x 377 = 13661520987400

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.

719 : 1, 719

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

310 : 1, 2, 5, 10, 31, 62, 155, 310

739 : 1, 739

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,220,310,739,377, is 1.

Now, the common factors can be found like this.

719:719

220:2x 2x 5x 11

310:2x 5x 31

739:739

377:13x 29

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 = 13661520987400/(1x10)

LCM = 13661520987400/10

LCM = 1366152098740

Thus, we can understand that the LCM of 719,220,310,739,377 is 1366152098740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 719, 220, 310, 739, 377

1. What is the LCM of 719, 220, 310, 739, 377?

Answer: LCM of 719, 220, 310, 739, 377 is 1366152098740.

2. How to calculate the LCM of 719, 220, 310, 739, 377?

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 719, 220, 310, 739, 377.

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}.