Given numbers are 402,420,947,962,924

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

The LCM of 402,420,947,962,924 is 140997636780.

Find LCM of 402,420,947,962,924 with Prime Factorization

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

2 x 2 x 3 x 7 x 67 x 5 x 947 x 481 x 11 = 140997636780

Therefore, the lowest common multiple of 402,420,947,962,924 is 140997636780.

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.

402 x 420 x 947 x 962 x 924 = 142125617874240

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

947 : 1, 947

962 : 1, 2, 13, 26, 37, 74, 481, 962

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,420,947,962,924, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

420:2x 2x 3x 5x 7

947:947

962:2x 13x 37

924:2x 2x 3x 7x 11

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 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 142125617874240/(1x1008)

LCM = 142125617874240/1008

LCM = 140997636780

Thus, we can understand that the LCM of 402,420,947,962,924 is 140997636780.

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

• LCM of 936, 739, 347, 574, 244
• LCM of 864, 496, 907, 695, 164
• LCM of 315, 883, 602, 744, 267
• LCM of 670, 952, 662, 904, 178
• LCM of 762, 309, 598, 320, 832

1. What is the LCM of 402, 420, 947, 962, 924?

Answer: LCM of 402, 420, 947, 962, 924 is 140997636780.

2. How to calculate the LCM of 402, 420, 947, 962, 924?

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 402, 420, 947, 962, 924.

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}.