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LCM of 625, 119, 748, 209

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


Find the LCM of 625, 119, 748, 209 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 625, 119, 748, 209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 625,119,748,209

Given numbers are 625,119,748,209

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

The LCM of 625,119,748,209 is 62177500.

Find LCM of 625,119,748,209 with Prime Factorization


11 625, 119, 748, 209
17 625, 119, 68, 19
625, 7, 4, 19

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

11 x 17 x 625 x 7 x 4 x 19 = 62177500

Therefore, the lowest common multiple of 625,119,748,209 is 62177500.

LCM Formula to Find Lowest Common Multiple of 625,119,748,209

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.

625 x 119 x 748 x 209 = 11627192500

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.

625 : 1, 5, 25, 125, 625

119 : 1, 7, 17, 119

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,119,748,209, is 1.

Now, the common factors can be found like this.

625:5x 5x 5x 5

119:7x 17

748:2x 2x 11x 17

209:11x 19

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

11x 17 = 187

Therefore, the value for common factors is 187.

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 = 11627192500/(1x187)

LCM = 11627192500/187

LCM = 62177500

Thus, we can understand that the LCM of 625,119,748,209 is 62177500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 625, 119, 748, 209

1. What is the LCM of 625, 119, 748, 209?

Answer: LCM of 625, 119, 748, 209 is 62177500.

2. How to calculate the LCM of 625, 119, 748, 209?

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 625, 119, 748, 209.

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}.