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LCM of 680, 292, 323, 399, 473

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


Find the LCM of 680, 292, 323, 399, 473 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, 292, 323, 399, 473. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 680,292,323,399,473

Given numbers are 680,292,323,399,473

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

The LCM of 680,292,323,399,473 is 9368408280.

Find LCM of 680,292,323,399,473 with Prime Factorization


2 680, 292, 323, 399, 473
2 340, 146, 323, 399, 473
17 170, 73, 323, 399, 473
19 10, 73, 19, 399, 473
10, 73, 1, 21, 473

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

2 x 2 x 17 x 19 x 10 x 73 x 1 x 21 x 473 = 9368408280

Therefore, the lowest common multiple of 680,292,323,399,473 is 9368408280.

LCM Formula to Find Lowest Common Multiple of 680,292,323,399,473

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 292 x 323 x 399 x 473 = 12103983497760

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

292 : 1, 2, 4, 73, 146, 292

323 : 1, 17, 19, 323

399 : 1, 3, 7, 19, 21, 57, 133, 399

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,292,323,399,473, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

292:2x 2x 73

323:17x 19

399:3x 7x 19

473:11x 43

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 17x 19 = 1292

Therefore, the value for common factors is 1292.

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 = 12103983497760/(1x1292)

LCM = 12103983497760/1292

LCM = 9368408280

Thus, we can understand that the LCM of 680,292,323,399,473 is 9368408280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 680, 292, 323, 399, 473

1. What is the LCM of 680, 292, 323, 399, 473?

Answer: LCM of 680, 292, 323, 399, 473 is 9368408280.

2. How to calculate the LCM of 680, 292, 323, 399, 473?

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, 292, 323, 399, 473.

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}.