Given numbers are 420,652,959,640

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

The LCM of 420,652,959,640 is 300128640.

Find LCM of 420,652,959,640 with Prime Factorization

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

2 x 2 x 5 x 7 x 3 x 163 x 137 x 32 = 300128640

Therefore, the lowest common multiple of 420,652,959,640 is 300128640.

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.

420 x 652 x 959 x 640 = 168072038400

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.

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

652 : 1, 2, 4, 163, 326, 652

959 : 1, 7, 137, 959

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,652,959,640, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

652:2x 2x 163

959:7x 137

640:2x 2x 2x 2x 2x 2x 2x 5

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 5x 7 = 560

Therefore, the value for common factors is 560.

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 = 168072038400/(1x560)

LCM = 168072038400/560

LCM = 300128640

Thus, we can understand that the LCM of 420,652,959,640 is 300128640.

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

• LCM of 262, 289, 498, 595
• LCM of 162, 941, 593, 692
• LCM of 336, 954, 901, 618
• LCM of 211, 258, 702, 847
• LCM of 368, 634, 819, 125

1. What is the LCM of 420, 652, 959, 640?

Answer: LCM of 420, 652, 959, 640 is 300128640.

2. How to calculate the LCM of 420, 652, 959, 640?

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 420, 652, 959, 640.

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}.