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LCM of 616, 549, 713, 61

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


Find the LCM of 616, 549, 713, 61 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 616, 549, 713, 61. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 616,549,713,61

Given numbers are 616,549,713,61

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

The LCM of 616,549,713,61 is 241125192.

Find LCM of 616,549,713,61 with Prime Factorization


61 616, 549, 713, 61
616, 9, 713, 1

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

61 x 616 x 9 x 713 x 1 = 241125192

Therefore, the lowest common multiple of 616,549,713,61 is 241125192.

LCM Formula to Find Lowest Common Multiple of 616,549,713,61

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.

616 x 549 x 713 x 61 = 14708636712

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.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

549 : 1, 3, 9, 61, 183, 549

713 : 1, 23, 31, 713

61 : 1, 61

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,549,713,61, is 1.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

549:3x 3x 61

713:23x 31

61:61

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

61 = 61

Therefore, the value for common factors is 61.

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 = 14708636712/(1x61)

LCM = 14708636712/61

LCM = 241125192

Thus, we can understand that the LCM of 616,549,713,61 is 241125192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 616, 549, 713, 61

1. What is the LCM of 616, 549, 713, 61?

Answer: LCM of 616, 549, 713, 61 is 241125192.

2. How to calculate the LCM of 616, 549, 713, 61?

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 616, 549, 713, 61.

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}.