Given numbers are 960,938,946

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

The LCM of 960,938,946 is 212963520.

Find LCM of 960,938,946 with Prime Factorization

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

2 x 480 x 469 x 473 = 212963520

Therefore, the lowest common multiple of 960,938,946 is 212963520.

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 938 x 946 = 851854080

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

938 : 1, 2, 7, 14, 67, 134, 469, 938

946 : 1, 2, 11, 22, 43, 86, 473, 946

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,938,946, is 2.

Now, the common factors can be found like this.

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

938:2x 7x 67

946:2x 11x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 851854080/(2x2)

LCM = 851854080/4

LCM = 212963520

Thus, we can understand that the LCM of 960,938,946 is 212963520.

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

• LCM of 713, 388, 267
• LCM of 334, 746, 171
• LCM of 366, 245, 114
• LCM of 179, 619, 844
• LCM of 666, 371, 131

1. What is the LCM of 960, 938, 946?

Answer: LCM of 960, 938, 946 is 212963520.

2. How to calculate the LCM of 960, 938, 946?

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, 938, 946.

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}.