Given numbers are 780,621,546,746

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

The LCM of 780,621,546,746 is 421572060.

Find LCM of 780,621,546,746 with Prime Factorization

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

2 x 3 x 13 x 10 x 207 x 7 x 373 = 421572060

Therefore, the lowest common multiple of 780,621,546,746 is 421572060.

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.

780 x 621 x 546 x 746 = 197295724080

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,621,546,746, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

621:3x 3x 3x 23

546:2x 3x 7x 13

746:2x 373

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 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 197295724080/(1x468)

LCM = 197295724080/468

LCM = 421572060

Thus, we can understand that the LCM of 780,621,546,746 is 421572060.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 479, 571, 274, 389
• LCM of 573, 743, 877, 992
• LCM of 678, 370, 889, 820
• LCM of 885, 936, 908, 804
• LCM of 234, 788, 788, 114

1. What is the LCM of 780, 621, 546, 746?

Answer: LCM of 780, 621, 546, 746 is 421572060.

2. How to calculate the LCM of 780, 621, 546, 746?

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 780, 621, 546, 746.

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}.