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LCM of 680, 654, 391, 104, 350

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


Find the LCM of 680, 654, 391, 104, 350 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, 654, 391, 104, 350. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 680,654,391,104,350

Given numbers are 680,654,391,104,350

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

The LCM of 680,654,391,104,350 is 2326997400.

Find LCM of 680,654,391,104,350 with Prime Factorization


2 680, 654, 391, 104, 350
2 340, 327, 391, 52, 175
2 170, 327, 391, 26, 175
5 85, 327, 391, 13, 175
17 17, 327, 391, 13, 35
1, 327, 23, 13, 35

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

2 x 2 x 2 x 5 x 17 x 1 x 327 x 23 x 13 x 35 = 2326997400

Therefore, the lowest common multiple of 680,654,391,104,350 is 2326997400.

LCM Formula to Find Lowest Common Multiple of 680,654,391,104,350

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 654 x 391 x 104 x 350 = 6329432928000

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

654 : 1, 2, 3, 6, 109, 218, 327, 654

391 : 1, 17, 23, 391

104 : 1, 2, 4, 8, 13, 26, 52, 104

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,654,391,104,350, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

654:2x 3x 109

391:17x 23

104:2x 2x 2x 13

350:2x 5x 5x 7

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 2x 5x 17 = 2720

Therefore, the value for common factors is 2720.

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 = 6329432928000/(1x2720)

LCM = 6329432928000/2720

LCM = 2326997400

Thus, we can understand that the LCM of 680,654,391,104,350 is 2326997400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 680, 654, 391, 104, 350

1. What is the LCM of 680, 654, 391, 104, 350?

Answer: LCM of 680, 654, 391, 104, 350 is 2326997400.

2. How to calculate the LCM of 680, 654, 391, 104, 350?

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, 654, 391, 104, 350.

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}.