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LCM of 374, 649, 330, 364

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


Find the LCM of 374, 649, 330, 364 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 374, 649, 330, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,649,330,364

Given numbers are 374,649,330,364

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

The LCM of 374,649,330,364 is 60240180.

Find LCM of 374,649,330,364 with Prime Factorization


2 374, 649, 330, 364
11 187, 649, 165, 182
17, 59, 15, 182

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

2 x 11 x 17 x 59 x 15 x 182 = 60240180

Therefore, the lowest common multiple of 374,649,330,364 is 60240180.

LCM Formula to Find Lowest Common Multiple of 374,649,330,364

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.

374 x 649 x 330 x 364 = 29156247120

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.

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

649 : 1, 11, 59, 649

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,649,330,364, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

649:11x 59

330:2x 3x 5x 11

364:2x 2x 7x 13

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 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 29156247120/(1x484)

LCM = 29156247120/484

LCM = 60240180

Thus, we can understand that the LCM of 374,649,330,364 is 60240180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 374, 649, 330, 364

1. What is the LCM of 374, 649, 330, 364?

Answer: LCM of 374, 649, 330, 364 is 60240180.

2. How to calculate the LCM of 374, 649, 330, 364?

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 374, 649, 330, 364.

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}.