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LCM of 703, 994, 418, 296

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


Find the LCM of 703, 994, 418, 296 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, 994, 418, 296. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 703,994,418,296

Given numbers are 703,994,418,296

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

The LCM of 703,994,418,296 is 30746408.

Find LCM of 703,994,418,296 with Prime Factorization


2 703, 994, 418, 296
19 703, 497, 209, 148
37 37, 497, 11, 148
1, 497, 11, 4

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

2 x 19 x 37 x 1 x 497 x 11 x 4 = 30746408

Therefore, the lowest common multiple of 703,994,418,296 is 30746408.

LCM Formula to Find Lowest Common Multiple of 703,994,418,296

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 994 x 418 x 296 = 86458899296

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

994 : 1, 2, 7, 14, 71, 142, 497, 994

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

296 : 1, 2, 4, 8, 37, 74, 148, 296

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,994,418,296, is 1.

Now, the common factors can be found like this.

703:19x 37

994:2x 7x 71

418:2x 11x 19

296:2x 2x 2x 37

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 19x 37 = 2812

Therefore, the value for common factors is 2812.

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 = 86458899296/(1x2812)

LCM = 86458899296/2812

LCM = 30746408

Thus, we can understand that the LCM of 703,994,418,296 is 30746408.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 703, 994, 418, 296

1. What is the LCM of 703, 994, 418, 296?

Answer: LCM of 703, 994, 418, 296 is 30746408.

2. How to calculate the LCM of 703, 994, 418, 296?

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, 994, 418, 296.

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}.