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LCM of 546, 445, 754, 965

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


Find the LCM of 546, 445, 754, 965 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, 445, 754, 965. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 546,445,754,965

Given numbers are 546,445,754,965

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

The LCM of 546,445,754,965 is 1359903090.

Find LCM of 546,445,754,965 with Prime Factorization


2 546, 445, 754, 965
5 273, 445, 377, 965
13 273, 89, 377, 193
21, 89, 29, 193

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

2 x 5 x 13 x 21 x 89 x 29 x 193 = 1359903090

Therefore, the lowest common multiple of 546,445,754,965 is 1359903090.

LCM Formula to Find Lowest Common Multiple of 546,445,754,965

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 445 x 754 x 965 = 176787401700

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

445 : 1, 5, 89, 445

754 : 1, 2, 13, 26, 29, 58, 377, 754

965 : 1, 5, 193, 965

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,445,754,965, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

445:5x 89

754:2x 13x 29

965:5x 193

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

2x 5x 13 = 130

Therefore, the value for common factors is 130.

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 = 176787401700/(1x130)

LCM = 176787401700/130

LCM = 1359903090

Thus, we can understand that the LCM of 546,445,754,965 is 1359903090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 546, 445, 754, 965

1. What is the LCM of 546, 445, 754, 965?

Answer: LCM of 546, 445, 754, 965 is 1359903090.

2. How to calculate the LCM of 546, 445, 754, 965?

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, 445, 754, 965.

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}.