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LCM of 577, 237, 680, 408, 938

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


Find the LCM of 577, 237, 680, 408, 938 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, 237, 680, 408, 938. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 577,237,680,408,938

Given numbers are 577,237,680,408,938

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

The LCM of 577,237,680,408,938 is 43611991080.

Find LCM of 577,237,680,408,938 with Prime Factorization


2 577, 237, 680, 408, 938
2 577, 237, 340, 204, 469
2 577, 237, 170, 102, 469
3 577, 237, 85, 51, 469
17 577, 79, 85, 17, 469
577, 79, 5, 1, 469

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

2 x 2 x 2 x 3 x 17 x 577 x 79 x 5 x 1 x 469 = 43611991080

Therefore, the lowest common multiple of 577,237,680,408,938 is 43611991080.

LCM Formula to Find Lowest Common Multiple of 577,237,680,408,938

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 237 x 680 x 408 x 938 = 35587384721280

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

237 : 1, 3, 79, 237

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

938 : 1, 2, 7, 14, 67, 134, 469, 938

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,237,680,408,938, is 1.

Now, the common factors can be found like this.

577:577

237:3x 79

680:2x 2x 2x 5x 17

408:2x 2x 2x 3x 17

938:2x 7x 67

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 2x 2x 3x 17 = 816

Therefore, the value for common factors is 816.

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 = 35587384721280/(1x816)

LCM = 35587384721280/816

LCM = 43611991080

Thus, we can understand that the LCM of 577,237,680,408,938 is 43611991080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 577, 237, 680, 408, 938

1. What is the LCM of 577, 237, 680, 408, 938?

Answer: LCM of 577, 237, 680, 408, 938 is 43611991080.

2. How to calculate the LCM of 577, 237, 680, 408, 938?

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, 237, 680, 408, 938.

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}.