Given numbers are 402,490,748,127,546

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

The LCM of 402,490,748,127,546 is 60815014260.

Find LCM of 402,490,748,127,546 with Prime Factorization

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

2 x 3 x 7 x 67 x 35 x 374 x 127 x 13 = 60815014260

Therefore, the lowest common multiple of 402,490,748,127,546 is 60815014260.

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 490 x 748 x 127 x 546 = 10216922395680

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

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

127 : 1, 127

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,490,748,127,546, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

490:2x 5x 7x 7

748:2x 2x 11x 17

127:127

546:2x 3x 7x 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 7 = 168

Therefore, the value for common factors is 168.

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 = 10216922395680/(1x168)

LCM = 10216922395680/168

LCM = 60815014260

Thus, we can understand that the LCM of 402,490,748,127,546 is 60815014260.

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

• LCM of 466, 570, 151, 604, 453
• LCM of 619, 965, 258, 292, 477
• LCM of 804, 178, 997, 865, 275
• LCM of 537, 318, 751, 880, 808
• LCM of 515, 310, 872, 520, 158

1. What is the LCM of 402, 490, 748, 127, 546?

Answer: LCM of 402, 490, 748, 127, 546 is 60815014260.

2. How to calculate the LCM of 402, 490, 748, 127, 546?

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, 490, 748, 127, 546.

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}.