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LCM of 680, 672, 102, 341

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


Find the LCM of 680, 672, 102, 341 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 680, 672, 102, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 680,672,102,341

Given numbers are 680,672,102,341

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

The LCM of 680,672,102,341 is 19477920.

Find LCM of 680,672,102,341 with Prime Factorization


2 680, 672, 102, 341
2 340, 336, 51, 341
2 170, 168, 51, 341
3 85, 84, 51, 341
17 85, 28, 17, 341
5, 28, 1, 341

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

2 x 2 x 2 x 3 x 17 x 5 x 28 x 1 x 341 = 19477920

Therefore, the lowest common multiple of 680,672,102,341 is 19477920.

LCM Formula to Find Lowest Common Multiple of 680,672,102,341

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.

680 x 672 x 102 x 341 = 15893982720

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.

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

102 : 1, 2, 3, 6, 17, 34, 51, 102

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,672,102,341, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

672:2x 2x 2x 2x 2x 3x 7

102:2x 3x 17

341:11x 31

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

2x 2x 2x 2x 3x 17 = 816

Therefore, the value for common factors is 816.

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 = 15893982720/(1x816)

LCM = 15893982720/816

LCM = 19477920

Thus, we can understand that the LCM of 680,672,102,341 is 19477920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 680, 672, 102, 341

1. What is the LCM of 680, 672, 102, 341?

Answer: LCM of 680, 672, 102, 341 is 19477920.

2. How to calculate the LCM of 680, 672, 102, 341?

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 680, 672, 102, 341.

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}.