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LCM of 680, 354, 176, 638, 274

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


Find the LCM of 680, 354, 176, 638, 274 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, 354, 176, 638, 274. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 680,354,176,638,274

Given numbers are 680,354,176,638,274

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

The LCM of 680,354,176,638,274 is 10520186160.

Find LCM of 680,354,176,638,274 with Prime Factorization


2 680, 354, 176, 638, 274
2 340, 177, 88, 319, 137
2 170, 177, 44, 319, 137
11 85, 177, 22, 319, 137
85, 177, 2, 29, 137

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

2 x 2 x 2 x 11 x 85 x 177 x 2 x 29 x 137 = 10520186160

Therefore, the lowest common multiple of 680,354,176,638,274 is 10520186160.

LCM Formula to Find Lowest Common Multiple of 680,354,176,638,274

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 354 x 176 x 638 x 274 = 7406211056640

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

638 : 1, 2, 11, 22, 29, 58, 319, 638

274 : 1, 2, 137, 274

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,354,176,638,274, is 2.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

354:2x 3x 59

176:2x 2x 2x 2x 11

638:2x 11x 29

274:2x 137

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 11 = 352

Therefore, the value for common factors is 352.

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 = 7406211056640/(2x352)

LCM = 7406211056640/704

LCM = 10520186160

Thus, we can understand that the LCM of 680,354,176,638,274 is 10520186160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 680, 354, 176, 638, 274

1. What is the LCM of 680, 354, 176, 638, 274?

Answer: LCM of 680, 354, 176, 638, 274 is 10520186160.

2. How to calculate the LCM of 680, 354, 176, 638, 274?

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, 354, 176, 638, 274.

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}.