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LCM of 340, 767, 425, 125

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


Find the LCM of 340, 767, 425, 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 340, 767, 425, 125. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 340,767,425,125

Given numbers are 340,767,425,125

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

The LCM of 340,767,425,125 is 6519500.

Find LCM of 340,767,425,125 with Prime Factorization


5 340, 767, 425, 125
5 68, 767, 85, 25
17 68, 767, 17, 5
4, 767, 1, 5

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

5 x 5 x 17 x 4 x 767 x 1 x 5 = 6519500

Therefore, the lowest common multiple of 340,767,425,125 is 6519500.

LCM Formula to Find Lowest Common Multiple of 340,767,425,125

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.

340 x 767 x 425 x 125 = 13853937500

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

767 : 1, 13, 59, 767

425 : 1, 5, 17, 25, 85, 425

125 : 1, 5, 25, 125

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,767,425,125, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

767:13x 59

425:5x 5x 17

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.

5x 5x 5x 17 = 2125

Therefore, the value for common factors is 2125.

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 = 13853937500/(1x2125)

LCM = 13853937500/2125

LCM = 6519500

Thus, we can understand that the LCM of 340,767,425,125 is 6519500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 340, 767, 425, 125

1. What is the LCM of 340, 767, 425, 125?

Answer: LCM of 340, 767, 425, 125 is 6519500.

2. How to calculate the LCM of 340, 767, 425, 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 340, 767, 425, 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}.