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LCM of 546, 931, 497, 674, 707

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


Find the LCM of 546, 931, 497, 674, 707 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 546, 931, 497, 674, 707. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 546,931,497,674,707

Given numbers are 546,931,497,674,707

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

The LCM of 546,931,497,674,707 is 175490619486.

Find LCM of 546,931,497,674,707 with Prime Factorization


2 546, 931, 497, 674, 707
7 273, 931, 497, 337, 707
39, 133, 71, 337, 101

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

2 x 7 x 39 x 133 x 71 x 337 x 101 = 175490619486

Therefore, the lowest common multiple of 546,931,497,674,707 is 175490619486.

LCM Formula to Find Lowest Common Multiple of 546,931,497,674,707

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.

546 x 931 x 497 x 674 x 707 = 120386564967396

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

931 : 1, 7, 19, 49, 133, 931

497 : 1, 7, 71, 497

674 : 1, 2, 337, 674

707 : 1, 7, 101, 707

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,931,497,674,707, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

931:7x 7x 19

497:7x 71

674:2x 337

707:7x 101

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

2x 7x 7x 7 = 686

Therefore, the value for common factors is 686.

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 = 120386564967396/(1x686)

LCM = 120386564967396/686

LCM = 175490619486

Thus, we can understand that the LCM of 546,931,497,674,707 is 175490619486.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 546, 931, 497, 674, 707

1. What is the LCM of 546, 931, 497, 674, 707?

Answer: LCM of 546, 931, 497, 674, 707 is 175490619486.

2. How to calculate the LCM of 546, 931, 497, 674, 707?

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 546, 931, 497, 674, 707.

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}.