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LCM of 546, 290, 860, 700, 621

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


Find the LCM of 546, 290, 860, 700, 621 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, 290, 860, 700, 621. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 546,290,860,700,621

Given numbers are 546,290,860,700,621

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

The LCM of 546,290,860,700,621 is 7046921700.

Find LCM of 546,290,860,700,621 with Prime Factorization


2 546, 290, 860, 700, 621
2 273, 145, 430, 350, 621
3 273, 145, 215, 175, 621
5 91, 145, 215, 175, 207
7 91, 29, 43, 35, 207
13, 29, 43, 5, 207

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

2 x 2 x 3 x 5 x 7 x 13 x 29 x 43 x 5 x 207 = 7046921700

Therefore, the lowest common multiple of 546,290,860,700,621 is 7046921700.

LCM Formula to Find Lowest Common Multiple of 546,290,860,700,621

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 290 x 860 x 700 x 621 = 59194142280000

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

290 : 1, 2, 5, 10, 29, 58, 145, 290

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

621 : 1, 3, 9, 23, 27, 69, 207, 621

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,290,860,700,621, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

290:2x 5x 29

860:2x 2x 5x 43

700:2x 2x 5x 5x 7

621:3x 3x 3x 23

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 3x 5x 5x 7 = 8400

Therefore, the value for common factors is 8400.

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 = 59194142280000/(1x8400)

LCM = 59194142280000/8400

LCM = 7046921700

Thus, we can understand that the LCM of 546,290,860,700,621 is 7046921700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 546, 290, 860, 700, 621

1. What is the LCM of 546, 290, 860, 700, 621?

Answer: LCM of 546, 290, 860, 700, 621 is 7046921700.

2. How to calculate the LCM of 546, 290, 860, 700, 621?

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, 290, 860, 700, 621.

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}.