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LCM of 685, 232, 377, 959

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


Find the LCM of 685, 232, 377, 959 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 685, 232, 377, 959. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 685,232,377,959

Given numbers are 685,232,377,959

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

The LCM of 685,232,377,959 is 14461720.

Find LCM of 685,232,377,959 with Prime Factorization


29 685, 232, 377, 959
137 685, 8, 13, 959
5, 8, 13, 7

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

29 x 137 x 5 x 8 x 13 x 7 = 14461720

Therefore, the lowest common multiple of 685,232,377,959 is 14461720.

LCM Formula to Find Lowest Common Multiple of 685,232,377,959

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.

685 x 232 x 377 x 959 = 57456413560

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.

685 : 1, 5, 137, 685

232 : 1, 2, 4, 8, 29, 58, 116, 232

377 : 1, 13, 29, 377

959 : 1, 7, 137, 959

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,232,377,959, is 1.

Now, the common factors can be found like this.

685:5x 137

232:2x 2x 2x 29

377:13x 29

959:7x 137

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

29x 137 = 3973

Therefore, the value for common factors is 3973.

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 = 57456413560/(1x3973)

LCM = 57456413560/3973

LCM = 14461720

Thus, we can understand that the LCM of 685,232,377,959 is 14461720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 685, 232, 377, 959

1. What is the LCM of 685, 232, 377, 959?

Answer: LCM of 685, 232, 377, 959 is 14461720.

2. How to calculate the LCM of 685, 232, 377, 959?

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 685, 232, 377, 959.

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}.