Given numbers are 964,920,135,150,169

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

The LCM of 964,920,135,150,169 is 5058541800.

Find LCM of 964,920,135,150,169 with Prime Factorization

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

2 x 2 x 3 x 5 x 241 x 46 x 9 x 5 x 169 = 5058541800

Therefore, the lowest common multiple of 964,920,135,150,169 is 5058541800.

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.

964 x 920 x 135 x 150 x 169 = 3035125080000

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.

964 : 1, 2, 4, 241, 482, 964

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

135 : 1, 3, 5, 9, 15, 27, 45, 135

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,920,135,150,169, is 1.

Now, the common factors can be found like this.

964:2x 2x 241

920:2x 2x 2x 5x 23

135:3x 3x 3x 5

150:2x 3x 5x 5

169:13x 13

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 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 3035125080000/(1x600)

LCM = 3035125080000/600

LCM = 5058541800

Thus, we can understand that the LCM of 964,920,135,150,169 is 5058541800.

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

• LCM of 344, 599, 300, 849, 999
• LCM of 436, 251, 615, 748, 483
• LCM of 600, 308, 754, 987, 865
• LCM of 217, 823, 107, 534, 467
• LCM of 304, 142, 707, 144, 761

1. What is the LCM of 964, 920, 135, 150, 169?

Answer: LCM of 964, 920, 135, 150, 169 is 5058541800.

2. How to calculate the LCM of 964, 920, 135, 150, 169?

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 964, 920, 135, 150, 169.

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}.