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LCM of 905, 104, 124, 546

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


Find the LCM of 905, 104, 124, 546 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 905, 104, 124, 546. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 905,104,124,546

Given numbers are 905,104,124,546

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

The LCM of 905,104,124,546 is 61272120.

Find LCM of 905,104,124,546 with Prime Factorization


2 905, 104, 124, 546
2 905, 52, 62, 273
13 905, 26, 31, 273
905, 2, 31, 21

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

2 x 2 x 13 x 905 x 2 x 31 x 21 = 61272120

Therefore, the lowest common multiple of 905,104,124,546 is 61272120.

LCM Formula to Find Lowest Common Multiple of 905,104,124,546

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.

905 x 104 x 124 x 546 = 6372300480

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.

905 : 1, 5, 181, 905

104 : 1, 2, 4, 8, 13, 26, 52, 104

124 : 1, 2, 4, 31, 62, 124

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,104,124,546, is 1.

Now, the common factors can be found like this.

905:5x 181

104:2x 2x 2x 13

124:2x 2x 31

546:2x 3x 7x 13

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 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 6372300480/(1x104)

LCM = 6372300480/104

LCM = 61272120

Thus, we can understand that the LCM of 905,104,124,546 is 61272120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 905, 104, 124, 546

1. What is the LCM of 905, 104, 124, 546?

Answer: LCM of 905, 104, 124, 546 is 61272120.

2. How to calculate the LCM of 905, 104, 124, 546?

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 905, 104, 124, 546.

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}.