Given numbers are 720,702,504,978

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

The LCM of 720,702,504,978 is 32039280.

Find LCM of 720,702,504,978 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 10 x 39 x 7 x 163 = 32039280

Therefore, the lowest common multiple of 720,702,504,978 is 32039280.

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.

720 x 702 x 504 x 978 = 249137441280

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

978 : 1, 2, 3, 6, 163, 326, 489, 978

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,702,504,978, is 6.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

702:2x 3x 3x 3x 13

504:2x 2x 2x 3x 3x 7

978:2x 3x 163

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 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 249137441280/(6x1296)

LCM = 249137441280/7776

LCM = 32039280

Thus, we can understand that the LCM of 720,702,504,978 is 32039280.

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

• LCM of 902, 222, 788, 517
• LCM of 639, 213, 245, 888
• LCM of 567, 268, 812, 804
• LCM of 442, 935, 726, 690
• LCM of 260, 259, 631, 413

1. What is the LCM of 720, 702, 504, 978?

Answer: LCM of 720, 702, 504, 978 is 32039280.

2. How to calculate the LCM of 720, 702, 504, 978?

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 720, 702, 504, 978.

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}.