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LCM of 703, 418, 979, 708, 263

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


Find the LCM of 703, 418, 979, 708, 263 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 703, 418, 979, 708, 263. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 703,418,979,708,263

Given numbers are 703,418,979,708,263

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

The LCM of 703,418,979,708,263 is 128152482348.

Find LCM of 703,418,979,708,263 with Prime Factorization


2 703, 418, 979, 708, 263
11 703, 209, 979, 354, 263
19 703, 19, 89, 354, 263
37, 1, 89, 354, 263

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

2 x 11 x 19 x 37 x 1 x 89 x 354 x 263 = 128152482348

Therefore, the lowest common multiple of 703,418,979,708,263 is 128152482348.

LCM Formula to Find Lowest Common Multiple of 703,418,979,708,263

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.

703 x 418 x 979 x 708 x 263 = 53567737621464

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.

703 : 1, 19, 37, 703

418 : 1, 2, 11, 19, 22, 38, 209, 418

979 : 1, 11, 89, 979

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

263 : 1, 263

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,418,979,708,263, is 1.

Now, the common factors can be found like this.

703:19x 37

418:2x 11x 19

979:11x 89

708:2x 2x 3x 59

263:263

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

2x 11x 19 = 418

Therefore, the value for common factors is 418.

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 = 53567737621464/(1x418)

LCM = 53567737621464/418

LCM = 128152482348

Thus, we can understand that the LCM of 703,418,979,708,263 is 128152482348.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 703, 418, 979, 708, 263

1. What is the LCM of 703, 418, 979, 708, 263?

Answer: LCM of 703, 418, 979, 708, 263 is 128152482348.

2. How to calculate the LCM of 703, 418, 979, 708, 263?

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 703, 418, 979, 708, 263.

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}.