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LCM of 343, 611, 491, 725, 742

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


Find the LCM of 343, 611, 491, 725, 742 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 343, 611, 491, 725, 742. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 343,611,491,725,742

Given numbers are 343,611,491,725,742

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

The LCM of 343,611,491,725,742 is 7907891359550.

Find LCM of 343,611,491,725,742 with Prime Factorization


7 343, 611, 491, 725, 742
49, 611, 491, 725, 106

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

7 x 49 x 611 x 491 x 725 x 106 = 7907891359550

Therefore, the lowest common multiple of 343,611,491,725,742 is 7907891359550.

LCM Formula to Find Lowest Common Multiple of 343,611,491,725,742

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.

343 x 611 x 491 x 725 x 742 = 55355239516850

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.

343 : 1, 7, 49, 343

611 : 1, 13, 47, 611

491 : 1, 491

725 : 1, 5, 25, 29, 145, 725

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,611,491,725,742, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

611:13x 47

491:491

725:5x 5x 29

742:2x 7x 53

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

7 = 7

Therefore, the value for common factors is 7.

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 = 55355239516850/(1x7)

LCM = 55355239516850/7

LCM = 7907891359550

Thus, we can understand that the LCM of 343,611,491,725,742 is 7907891359550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 343, 611, 491, 725, 742

1. What is the LCM of 343, 611, 491, 725, 742?

Answer: LCM of 343, 611, 491, 725, 742 is 7907891359550.

2. How to calculate the LCM of 343, 611, 491, 725, 742?

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 343, 611, 491, 725, 742.

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}.