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LCM of 125, 963, 184, 749, 379

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


Find the LCM of 125, 963, 184, 749, 379 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 125, 963, 184, 749, 379. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 125,963,184,749,379

Given numbers are 125,963,184,749,379

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

The LCM of 125,963,184,749,379 is 58761297000.

Find LCM of 125,963,184,749,379 with Prime Factorization


107 125, 963, 184, 749, 379
125, 9, 184, 7, 379

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

107 x 125 x 9 x 184 x 7 x 379 = 58761297000

Therefore, the lowest common multiple of 125,963,184,749,379 is 58761297000.

LCM Formula to Find Lowest Common Multiple of 125,963,184,749,379

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.

125 x 963 x 184 x 749 x 379 = 6287458779000

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.

125 : 1, 5, 25, 125

963 : 1, 3, 9, 107, 321, 963

184 : 1, 2, 4, 8, 23, 46, 92, 184

749 : 1, 7, 107, 749

379 : 1, 379

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,963,184,749,379, is 1.

Now, the common factors can be found like this.

125:5x 5x 5

963:3x 3x 107

184:2x 2x 2x 23

749:7x 107

379:379

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

107 = 107

Therefore, the value for common factors is 107.

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 = 6287458779000/(1x107)

LCM = 6287458779000/107

LCM = 58761297000

Thus, we can understand that the LCM of 125,963,184,749,379 is 58761297000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 125, 963, 184, 749, 379

1. What is the LCM of 125, 963, 184, 749, 379?

Answer: LCM of 125, 963, 184, 749, 379 is 58761297000.

2. How to calculate the LCM of 125, 963, 184, 749, 379?

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 125, 963, 184, 749, 379.

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}.