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LCM of 604, 758, 758, 387

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


Find the LCM of 604, 758, 758, 387 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 604, 758, 758, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 604,758,758,387

Given numbers are 604,758,758,387

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

The LCM of 604,758,758,387 is 88590492.

Find LCM of 604,758,758,387 with Prime Factorization


2 604, 758, 758, 387
379 302, 379, 379, 387
302, 1, 1, 387

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

2 x 379 x 302 x 1 x 1 x 387 = 88590492

Therefore, the lowest common multiple of 604,758,758,387 is 88590492.

LCM Formula to Find Lowest Common Multiple of 604,758,758,387

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.

604 x 758 x 758 x 387 = 134303185872

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.

604 : 1, 2, 4, 151, 302, 604

758 : 1, 2, 379, 758

758 : 1, 2, 379, 758

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,758,758,387, is 1.

Now, the common factors can be found like this.

604:2x 2x 151

758:2x 379

758:2x 379

387:3x 3x 43

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

2x 2x 379 = 1516

Therefore, the value for common factors is 1516.

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 = 134303185872/(1x1516)

LCM = 134303185872/1516

LCM = 88590492

Thus, we can understand that the LCM of 604,758,758,387 is 88590492.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 604, 758, 758, 387

1. What is the LCM of 604, 758, 758, 387?

Answer: LCM of 604, 758, 758, 387 is 88590492.

2. How to calculate the LCM of 604, 758, 758, 387?

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 604, 758, 758, 387.

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}.