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LCM of 977, 386, 402, 606, 582

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


Find the LCM of 977, 386, 402, 606, 582 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 977, 386, 402, 606, 582. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 977,386,402,606,582

Given numbers are 977,386,402,606,582

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

The LCM of 977,386,402,606,582 is 742627511034.

Find LCM of 977,386,402,606,582 with Prime Factorization


2 977, 386, 402, 606, 582
3 977, 193, 201, 303, 291
977, 193, 67, 101, 97

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

2 x 3 x 977 x 193 x 67 x 101 x 97 = 742627511034

Therefore, the lowest common multiple of 977,386,402,606,582 is 742627511034.

LCM Formula to Find Lowest Common Multiple of 977,386,402,606,582

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.

977 x 386 x 402 x 606 x 582 = 53469180794448

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.

977 : 1, 977

386 : 1, 2, 193, 386

402 : 1, 2, 3, 6, 67, 134, 201, 402

606 : 1, 2, 3, 6, 101, 202, 303, 606

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,386,402,606,582, is 1.

Now, the common factors can be found like this.

977:977

386:2x 193

402:2x 3x 67

606:2x 3x 101

582:2x 3x 97

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 53469180794448/(1x72)

LCM = 53469180794448/72

LCM = 742627511034

Thus, we can understand that the LCM of 977,386,402,606,582 is 742627511034.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 977, 386, 402, 606, 582

1. What is the LCM of 977, 386, 402, 606, 582?

Answer: LCM of 977, 386, 402, 606, 582 is 742627511034.

2. How to calculate the LCM of 977, 386, 402, 606, 582?

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 977, 386, 402, 606, 582.

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}.