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LCM of 779, 119, 456, 741, 125

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


Find the LCM of 779, 119, 456, 741, 125 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 779, 119, 456, 741, 125. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 779,119,456,741,125

Given numbers are 779,119,456,741,125

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

The LCM of 779,119,456,741,125 is 3615339000.

Find LCM of 779,119,456,741,125 with Prime Factorization


3 779, 119, 456, 741, 125
19 779, 119, 152, 247, 125
41, 119, 8, 13, 125

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

3 x 19 x 41 x 119 x 8 x 13 x 125 = 3615339000

Therefore, the lowest common multiple of 779,119,456,741,125 is 3615339000.

LCM Formula to Find Lowest Common Multiple of 779,119,456,741,125

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.

779 x 119 x 456 x 741 x 125 = 3915412137000

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.

779 : 1, 19, 41, 779

119 : 1, 7, 17, 119

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

741 : 1, 3, 13, 19, 39, 57, 247, 741

125 : 1, 5, 25, 125

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,119,456,741,125, is 1.

Now, the common factors can be found like this.

779:19x 41

119:7x 17

456:2x 2x 2x 3x 19

741:3x 13x 19

125:5x 5x 5

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

3x 19x 19 = 1083

Therefore, the value for common factors is 1083.

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 = 3915412137000/(1x1083)

LCM = 3915412137000/1083

LCM = 3615339000

Thus, we can understand that the LCM of 779,119,456,741,125 is 3615339000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 779, 119, 456, 741, 125

1. What is the LCM of 779, 119, 456, 741, 125?

Answer: LCM of 779, 119, 456, 741, 125 is 3615339000.

2. How to calculate the LCM of 779, 119, 456, 741, 125?

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 779, 119, 456, 741, 125.

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}.