Given numbers are 720,715,426,978

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

The LCM of 720,715,426,978 is 1191556080.

Find LCM of 720,715,426,978 with Prime Factorization

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

2 x 3 x 5 x 24 x 143 x 71 x 163 = 1191556080

Therefore, the lowest common multiple of 720,715,426,978 is 1191556080.

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 715 x 426 x 978 = 214480094400

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

426 : 1, 2, 3, 6, 71, 142, 213, 426

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,715,426,978, is 1.

Now, the common factors can be found like this.

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

715:5x 11x 13

426:2x 3x 71

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 214480094400/(1x180)

LCM = 214480094400/180

LCM = 1191556080

Thus, we can understand that the LCM of 720,715,426,978 is 1191556080.

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

• LCM of 713, 937, 636, 850
• LCM of 139, 320, 594, 746
• LCM of 317, 186, 404, 449
• LCM of 483, 575, 570, 509
• LCM of 487, 826, 145, 971

1. What is the LCM of 720, 715, 426, 978?

Answer: LCM of 720, 715, 426, 978 is 1191556080.

2. How to calculate the LCM of 720, 715, 426, 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, 715, 426, 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}.