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LCM of 740, 182, 491, 329

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


Find the LCM of 740, 182, 491, 329 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 740, 182, 491, 329. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 740,182,491,329

Given numbers are 740,182,491,329

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

The LCM of 740,182,491,329 is 1554005180.

Find LCM of 740,182,491,329 with Prime Factorization


2 740, 182, 491, 329
7 370, 91, 491, 329
370, 13, 491, 47

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

2 x 7 x 370 x 13 x 491 x 47 = 1554005180

Therefore, the lowest common multiple of 740,182,491,329 is 1554005180.

LCM Formula to Find Lowest Common Multiple of 740,182,491,329

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.

740 x 182 x 491 x 329 = 21756072520

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.

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

182 : 1, 2, 7, 13, 14, 26, 91, 182

491 : 1, 491

329 : 1, 7, 47, 329

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,182,491,329, is 1.

Now, the common factors can be found like this.

740:2x 2x 5x 37

182:2x 7x 13

491:491

329:7x 47

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 21756072520/(1x14)

LCM = 21756072520/14

LCM = 1554005180

Thus, we can understand that the LCM of 740,182,491,329 is 1554005180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 740, 182, 491, 329

1. What is the LCM of 740, 182, 491, 329?

Answer: LCM of 740, 182, 491, 329 is 1554005180.

2. How to calculate the LCM of 740, 182, 491, 329?

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 740, 182, 491, 329.

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}.