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LCM of 451, 674, 615, 375, 781

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


Find the LCM of 451, 674, 615, 375, 781 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 451, 674, 615, 375, 781. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 451,674,615,375,781

Given numbers are 451,674,615,375,781

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

The LCM of 451,674,615,375,781 is 8093307750.

Find LCM of 451,674,615,375,781 with Prime Factorization


3 451, 674, 615, 375, 781
5 451, 674, 205, 125, 781
11 451, 674, 41, 25, 781
41 41, 674, 41, 25, 71
1, 674, 1, 25, 71

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

3 x 5 x 11 x 41 x 1 x 674 x 1 x 25 x 71 = 8093307750

Therefore, the lowest common multiple of 451,674,615,375,781 is 8093307750.

LCM Formula to Find Lowest Common Multiple of 451,674,615,375,781

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.

451 x 674 x 615 x 375 x 781 = 54751226928750

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.

451 : 1, 11, 41, 451

674 : 1, 2, 337, 674

615 : 1, 3, 5, 15, 41, 123, 205, 615

375 : 1, 3, 5, 15, 25, 75, 125, 375

781 : 1, 11, 71, 781

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,674,615,375,781, is 1.

Now, the common factors can be found like this.

451:11x 41

674:2x 337

615:3x 5x 41

375:3x 5x 5x 5

781:11x 71

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

3x 5x 11x 41 = 6765

Therefore, the value for common factors is 6765.

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 = 54751226928750/(1x6765)

LCM = 54751226928750/6765

LCM = 8093307750

Thus, we can understand that the LCM of 451,674,615,375,781 is 8093307750.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 451, 674, 615, 375, 781

1. What is the LCM of 451, 674, 615, 375, 781?

Answer: LCM of 451, 674, 615, 375, 781 is 8093307750.

2. How to calculate the LCM of 451, 674, 615, 375, 781?

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 451, 674, 615, 375, 781.

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}.