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LCM of 719, 688, 577, 493, 158

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


Find the LCM of 719, 688, 577, 493, 158 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, 688, 577, 493, 158. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 719,688,577,493,158

Given numbers are 719,688,577,493,158

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

The LCM of 719,688,577,493,158 is 11116476451568.

Find LCM of 719,688,577,493,158 with Prime Factorization


2 719, 688, 577, 493, 158
719, 344, 577, 493, 79

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

2 x 719 x 344 x 577 x 493 x 79 = 11116476451568

Therefore, the lowest common multiple of 719,688,577,493,158 is 11116476451568.

LCM Formula to Find Lowest Common Multiple of 719,688,577,493,158

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 688 x 577 x 493 x 158 = 22232952903136

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

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

577 : 1, 577

493 : 1, 17, 29, 493

158 : 1, 2, 79, 158

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,688,577,493,158, is 1.

Now, the common factors can be found like this.

719:719

688:2x 2x 2x 2x 43

577:577

493:17x 29

158:2x 79

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

2 = 2

Therefore, the value for common factors is 2.

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 = 22232952903136/(1x2)

LCM = 22232952903136/2

LCM = 11116476451568

Thus, we can understand that the LCM of 719,688,577,493,158 is 11116476451568.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 719, 688, 577, 493, 158

1. What is the LCM of 719, 688, 577, 493, 158?

Answer: LCM of 719, 688, 577, 493, 158 is 11116476451568.

2. How to calculate the LCM of 719, 688, 577, 493, 158?

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, 688, 577, 493, 158.

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}.