Given numbers are 492,228,473,760,278

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

The LCM of 492,228,473,760,278 is 6146029560.

Find LCM of 492,228,473,760,278 with Prime Factorization

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

2 x 2 x 3 x 19 x 41 x 1 x 473 x 10 x 139 = 6146029560

Therefore, the lowest common multiple of 492,228,473,760,278 is 6146029560.

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.

492 x 228 x 473 x 760 x 278 = 11210357917440

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

473 : 1, 11, 43, 473

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,228,473,760,278, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

228:2x 2x 3x 19

473:11x 43

760:2x 2x 2x 5x 19

278:2x 139

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 3x 19 = 1824

Therefore, the value for common factors is 1824.

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 = 11210357917440/(1x1824)

LCM = 11210357917440/1824

LCM = 6146029560

Thus, we can understand that the LCM of 492,228,473,760,278 is 6146029560.

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

• LCM of 742, 346, 965, 762, 577
• LCM of 787, 864, 371, 165, 749
• LCM of 681, 867, 669, 770, 738
• LCM of 239, 976, 694, 687, 122
• LCM of 420, 167, 674, 983, 453

1. What is the LCM of 492, 228, 473, 760, 278?

Answer: LCM of 492, 228, 473, 760, 278 is 6146029560.

2. How to calculate the LCM of 492, 228, 473, 760, 278?

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 492, 228, 473, 760, 278.

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}.