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LCM of 546, 208, 844, 712, 611

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


Find the LCM of 546, 208, 844, 712, 611 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, 208, 844, 712, 611. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 546,208,844,712,611

Given numbers are 546,208,844,712,611

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

The LCM of 546,208,844,712,611 is 3855253584.

Find LCM of 546,208,844,712,611 with Prime Factorization


2 546, 208, 844, 712, 611
2 273, 104, 422, 356, 611
2 273, 52, 211, 178, 611
13 273, 26, 211, 89, 611
21, 2, 211, 89, 47

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

2 x 2 x 2 x 13 x 21 x 2 x 211 x 89 x 47 = 3855253584

Therefore, the lowest common multiple of 546,208,844,712,611 is 3855253584.

LCM Formula to Find Lowest Common Multiple of 546,208,844,712,611

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 208 x 844 x 712 x 611 = 41698422764544

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

844 : 1, 2, 4, 211, 422, 844

712 : 1, 2, 4, 8, 89, 178, 356, 712

611 : 1, 13, 47, 611

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,208,844,712,611, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

208:2x 2x 2x 2x 13

844:2x 2x 211

712:2x 2x 2x 89

611:13x 47

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 2x 2x 2x 13x 13 = 10816

Therefore, the value for common factors is 10816.

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 = 41698422764544/(1x10816)

LCM = 41698422764544/10816

LCM = 3855253584

Thus, we can understand that the LCM of 546,208,844,712,611 is 3855253584.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 546, 208, 844, 712, 611

1. What is the LCM of 546, 208, 844, 712, 611?

Answer: LCM of 546, 208, 844, 712, 611 is 3855253584.

2. How to calculate the LCM of 546, 208, 844, 712, 611?

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, 208, 844, 712, 611.

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}.