Given numbers are 960,470,900,125,274

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

The LCM of 960,470,900,125,274 is 463608000.

Find LCM of 960,470,900,125,274 with Prime Factorization

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

2 x 2 x 3 x 5 x 5 x 16 x 47 x 3 x 5 x 137 = 463608000

Therefore, the lowest common multiple of 960,470,900,125,274 is 463608000.

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.

960 x 470 x 900 x 125 x 274 = 13908240000000

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

470 : 1, 2, 5, 10, 47, 94, 235, 470

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

125 : 1, 5, 25, 125

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,470,900,125,274, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

470:2x 5x 47

900:2x 2x 3x 3x 5x 5

125:5x 5x 5

274:2x 137

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 5x 5 = 30000

Therefore, the value for common factors is 30000.

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 = 13908240000000/(1x30000)

LCM = 13908240000000/30000

LCM = 463608000

Thus, we can understand that the LCM of 960,470,900,125,274 is 463608000.

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

• LCM of 540, 856, 846, 705, 976
• LCM of 483, 899, 899, 933, 265
• LCM of 641, 598, 128, 518, 766
• LCM of 713, 125, 571, 437, 149
• LCM of 109, 810, 711, 840, 208

1. What is the LCM of 960, 470, 900, 125, 274?

Answer: LCM of 960, 470, 900, 125, 274 is 463608000.

2. How to calculate the LCM of 960, 470, 900, 125, 274?

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 960, 470, 900, 125, 274.

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}.