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LCM of 546, 620, 830, 763

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


Find the LCM of 546, 620, 830, 763 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, 620, 830, 763. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 546,620,830,763

Given numbers are 546,620,830,763

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

The LCM of 546,620,830,763 is 1531295220.

Find LCM of 546,620,830,763 with Prime Factorization


2 546, 620, 830, 763
5 273, 310, 415, 763
7 273, 62, 83, 763
39, 62, 83, 109

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

2 x 5 x 7 x 39 x 62 x 83 x 109 = 1531295220

Therefore, the lowest common multiple of 546,620,830,763 is 1531295220.

LCM Formula to Find Lowest Common Multiple of 546,620,830,763

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 620 x 830 x 763 = 214381330800

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

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

830 : 1, 2, 5, 10, 83, 166, 415, 830

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,620,830,763, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

620:2x 2x 5x 31

830:2x 5x 83

763:7x 109

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 5x 7 = 140

Therefore, the value for common factors is 140.

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 = 214381330800/(1x140)

LCM = 214381330800/140

LCM = 1531295220

Thus, we can understand that the LCM of 546,620,830,763 is 1531295220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 546, 620, 830, 763

1. What is the LCM of 546, 620, 830, 763?

Answer: LCM of 546, 620, 830, 763 is 1531295220.

2. How to calculate the LCM of 546, 620, 830, 763?

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, 620, 830, 763.

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}.