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LCM of 577, 478, 836, 734

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


Find the LCM of 577, 478, 836, 734 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 577, 478, 836, 734. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 577,478,836,734

Given numbers are 577,478,836,734

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

The LCM of 577,478,836,734 is 42310295236.

Find LCM of 577,478,836,734 with Prime Factorization


2 577, 478, 836, 734
577, 239, 418, 367

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

2 x 577 x 239 x 418 x 367 = 42310295236

Therefore, the lowest common multiple of 577,478,836,734 is 42310295236.

LCM Formula to Find Lowest Common Multiple of 577,478,836,734

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.

577 x 478 x 836 x 734 = 169241180944

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.

577 : 1, 577

478 : 1, 2, 239, 478

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

734 : 1, 2, 367, 734

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,478,836,734, is 1.

Now, the common factors can be found like this.

577:577

478:2x 239

836:2x 2x 11x 19

734:2x 367

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 169241180944/(1x4)

LCM = 169241180944/4

LCM = 42310295236

Thus, we can understand that the LCM of 577,478,836,734 is 42310295236.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 577, 478, 836, 734

1. What is the LCM of 577, 478, 836, 734?

Answer: LCM of 577, 478, 836, 734 is 42310295236.

2. How to calculate the LCM of 577, 478, 836, 734?

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 577, 478, 836, 734.

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}.