Given numbers are 402,124,616,847,460

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

The LCM of 402,124,616,847,460 is 4855444440.

Find LCM of 402,124,616,847,460 with Prime Factorization

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

2 x 2 x 7 x 11 x 201 x 31 x 2 x 11 x 115 = 4855444440

Therefore, the lowest common multiple of 402,124,616,847,460 is 4855444440.

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 124 x 616 x 847 x 460 = 11963815100160

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

124 : 1, 2, 4, 31, 62, 124

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

847 : 1, 7, 11, 77, 121, 847

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,124,616,847,460, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

124:2x 2x 31

616:2x 2x 2x 7x 11

847:7x 11x 11

460:2x 2x 5x 23

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 2x 7x 11 = 2464

Therefore, the value for common factors is 2464.

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 = 11963815100160/(1x2464)

LCM = 11963815100160/2464

LCM = 4855444440

Thus, we can understand that the LCM of 402,124,616,847,460 is 4855444440.

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

• LCM of 921, 920, 517, 979, 386
• LCM of 992, 506, 967, 326, 612
• LCM of 354, 397, 156, 210, 305
• LCM of 884, 207, 441, 423, 835
• LCM of 866, 870, 811, 962, 388

1. What is the LCM of 402, 124, 616, 847, 460?

Answer: LCM of 402, 124, 616, 847, 460 is 4855444440.

2. How to calculate the LCM of 402, 124, 616, 847, 460?

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, 124, 616, 847, 460.

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}.