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LCM of 546, 495, 846, 880

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


Find the LCM of 546, 495, 846, 880 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, 495, 846, 880. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 546,495,846,880

Given numbers are 546,495,846,880

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

The LCM of 546,495,846,880 is 33873840.

Find LCM of 546,495,846,880 with Prime Factorization


2 546, 495, 846, 880
3 273, 495, 423, 440
3 91, 165, 141, 440
5 91, 55, 47, 440
11 91, 11, 47, 88
91, 1, 47, 8

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

2 x 3 x 3 x 5 x 11 x 91 x 1 x 47 x 8 = 33873840

Therefore, the lowest common multiple of 546,495,846,880 is 33873840.

LCM Formula to Find Lowest Common Multiple of 546,495,846,880

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 495 x 846 x 880 = 201210609600

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

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,495,846,880, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

495:3x 3x 5x 11

846:2x 3x 3x 47

880:2x 2x 2x 2x 5x 11

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 3x 3x 3x 5x 11 = 5940

Therefore, the value for common factors is 5940.

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 = 201210609600/(1x5940)

LCM = 201210609600/5940

LCM = 33873840

Thus, we can understand that the LCM of 546,495,846,880 is 33873840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 546, 495, 846, 880

1. What is the LCM of 546, 495, 846, 880?

Answer: LCM of 546, 495, 846, 880 is 33873840.

2. How to calculate the LCM of 546, 495, 846, 880?

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, 495, 846, 880.

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}.