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LCM of 546, 735, 706, 973

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


Find the LCM of 546, 735, 706, 973 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, 735, 706, 973. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 546,735,706,973

Given numbers are 546,735,706,973

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

The LCM of 546,735,706,973 is 937670370.

Find LCM of 546,735,706,973 with Prime Factorization


2 546, 735, 706, 973
3 273, 735, 353, 973
7 91, 245, 353, 973
13, 35, 353, 139

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

2 x 3 x 7 x 13 x 35 x 353 x 139 = 937670370

Therefore, the lowest common multiple of 546,735,706,973 is 937670370.

LCM Formula to Find Lowest Common Multiple of 546,735,706,973

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 735 x 706 x 973 = 275675088780

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

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

706 : 1, 2, 353, 706

973 : 1, 7, 139, 973

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,735,706,973, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

735:3x 5x 7x 7

706:2x 353

973:7x 139

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

2x 3x 7x 7 = 294

Therefore, the value for common factors is 294.

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 = 275675088780/(1x294)

LCM = 275675088780/294

LCM = 937670370

Thus, we can understand that the LCM of 546,735,706,973 is 937670370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 546, 735, 706, 973

1. What is the LCM of 546, 735, 706, 973?

Answer: LCM of 546, 735, 706, 973 is 937670370.

2. How to calculate the LCM of 546, 735, 706, 973?

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, 735, 706, 973.

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}.