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LCM of 735, 676, 181, 924, 398

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


Find the LCM of 735, 676, 181, 924, 398 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 735, 676, 181, 924, 398. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 735,676,181,924,398

Given numbers are 735,676,181,924,398

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

The LCM of 735,676,181,924,398 is 196860403740.

Find LCM of 735,676,181,924,398 with Prime Factorization


2 735, 676, 181, 924, 398
2 735, 338, 181, 462, 199
3 735, 169, 181, 231, 199
7 245, 169, 181, 77, 199
35, 169, 181, 11, 199

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

2 x 2 x 3 x 7 x 35 x 169 x 181 x 11 x 199 = 196860403740

Therefore, the lowest common multiple of 735,676,181,924,398 is 196860403740.

LCM Formula to Find Lowest Common Multiple of 735,676,181,924,398

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.

735 x 676 x 181 x 924 x 398 = 33072547828320

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

181 : 1, 181

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,676,181,924,398, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

676:2x 2x 13x 13

181:181

924:2x 2x 3x 7x 11

398:2x 199

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 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 33072547828320/(1x168)

LCM = 33072547828320/168

LCM = 196860403740

Thus, we can understand that the LCM of 735,676,181,924,398 is 196860403740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 735, 676, 181, 924, 398

1. What is the LCM of 735, 676, 181, 924, 398?

Answer: LCM of 735, 676, 181, 924, 398 is 196860403740.

2. How to calculate the LCM of 735, 676, 181, 924, 398?

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 735, 676, 181, 924, 398.

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}.