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LCM of 608, 772, 749, 980, 386

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


Find the LCM of 608, 772, 749, 980, 386 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 608, 772, 749, 980, 386. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 608,772,749,980,386

Given numbers are 608,772,749,980,386

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

The LCM of 608,772,749,980,386 is 3076172960.

Find LCM of 608,772,749,980,386 with Prime Factorization


2 608, 772, 749, 980, 386
2 304, 386, 749, 490, 193
7 152, 193, 749, 245, 193
193 152, 193, 107, 35, 193
152, 1, 107, 35, 1

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

2 x 2 x 7 x 193 x 152 x 1 x 107 x 35 x 1 = 3076172960

Therefore, the lowest common multiple of 608,772,749,980,386 is 3076172960.

LCM Formula to Find Lowest Common Multiple of 608,772,749,980,386

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.

608 x 772 x 749 x 980 x 386 = 132989109406720

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.

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

772 : 1, 2, 4, 193, 386, 772

749 : 1, 7, 107, 749

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

386 : 1, 2, 193, 386

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,772,749,980,386, is 1.

Now, the common factors can be found like this.

608:2x 2x 2x 2x 2x 19

772:2x 2x 193

749:7x 107

980:2x 2x 5x 7x 7

386:2x 193

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 2x 7x 193 = 43232

Therefore, the value for common factors is 43232.

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 = 132989109406720/(1x43232)

LCM = 132989109406720/43232

LCM = 3076172960

Thus, we can understand that the LCM of 608,772,749,980,386 is 3076172960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 608, 772, 749, 980, 386

1. What is the LCM of 608, 772, 749, 980, 386?

Answer: LCM of 608, 772, 749, 980, 386 is 3076172960.

2. How to calculate the LCM of 608, 772, 749, 980, 386?

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 608, 772, 749, 980, 386.

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}.