Given numbers are 600,720,956,980

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

The LCM of 600,720,956,980 is 42159600.

Find LCM of 600,720,956,980 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 5 x 6 x 239 x 49 = 42159600

Therefore, the lowest common multiple of 600,720,956,980 is 42159600.

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.

600 x 720 x 956 x 980 = 404732160000

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.

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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

956 : 1, 2, 4, 239, 478, 956

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,720,956,980, is 4.

Now, the common factors can be found like this.

600:2x 2x 2x 3x 5x 5

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

956:2x 2x 239

980:2x 2x 5x 7x 7

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 2x 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 404732160000/(4x2400)

LCM = 404732160000/9600

LCM = 42159600

Thus, we can understand that the LCM of 600,720,956,980 is 42159600.

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

• LCM of 679, 696, 116, 708
• LCM of 150, 835, 690, 386
• LCM of 109, 155, 729, 898
• LCM of 608, 851, 579, 588
• LCM of 446, 508, 547, 979

1. What is the LCM of 600, 720, 956, 980?

Answer: LCM of 600, 720, 956, 980 is 42159600.

2. How to calculate the LCM of 600, 720, 956, 980?

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 600, 720, 956, 980.

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}.