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LCM of 722, 884, 194, 120, 374

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


Find the LCM of 722, 884, 194, 120, 374 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 722, 884, 194, 120, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 722,884,194,120,374

Given numbers are 722,884,194,120,374

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

The LCM of 722,884,194,120,374 is 10215159240.

Find LCM of 722,884,194,120,374 with Prime Factorization


2 722, 884, 194, 120, 374
2 361, 442, 97, 60, 187
17 361, 221, 97, 30, 187
361, 13, 97, 30, 11

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

2 x 2 x 17 x 361 x 13 x 97 x 30 x 11 = 10215159240

Therefore, the lowest common multiple of 722,884,194,120,374 is 10215159240.

LCM Formula to Find Lowest Common Multiple of 722,884,194,120,374

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.

722 x 884 x 194 x 120 x 374 = 5557046626560

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.

722 : 1, 2, 19, 38, 361, 722

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

194 : 1, 2, 97, 194

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

374 : 1, 2, 11, 17, 22, 34, 187, 374

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,884,194,120,374, is 2.

Now, the common factors can be found like this.

722:2x 19x 19

884:2x 2x 13x 17

194:2x 97

120:2x 2x 2x 3x 5

374:2x 11x 17

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 17 = 272

Therefore, the value for common factors is 272.

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 = 5557046626560/(2x272)

LCM = 5557046626560/544

LCM = 10215159240

Thus, we can understand that the LCM of 722,884,194,120,374 is 10215159240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 722, 884, 194, 120, 374

1. What is the LCM of 722, 884, 194, 120, 374?

Answer: LCM of 722, 884, 194, 120, 374 is 10215159240.

2. How to calculate the LCM of 722, 884, 194, 120, 374?

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 722, 884, 194, 120, 374.

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}.