Given numbers are 491,434,416,278

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

The LCM of 491,434,416,278 is 6160973728.

Find LCM of 491,434,416,278 with Prime Factorization

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

2 x 491 x 217 x 208 x 139 = 6160973728

Therefore, the lowest common multiple of 491,434,416,278 is 6160973728.

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.

491 x 434 x 416 x 278 = 24643894912

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.

491 : 1, 491

434 : 1, 2, 7, 14, 31, 62, 217, 434

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,434,416,278, is 1.

Now, the common factors can be found like this.

491:491

434:2x 7x 31

416:2x 2x 2x 2x 2x 13

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 2 = 4

Therefore, the value for common factors is 4.

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 = 24643894912/(1x4)

LCM = 24643894912/4

LCM = 6160973728

Thus, we can understand that the LCM of 491,434,416,278 is 6160973728.

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

• LCM of 538, 921, 535, 756
• LCM of 398, 789, 651, 324
• LCM of 966, 275, 886, 840
• LCM of 827, 140, 195, 914
• LCM of 112, 946, 677, 848

1. What is the LCM of 491, 434, 416, 278?

Answer: LCM of 491, 434, 416, 278 is 6160973728.

2. How to calculate the LCM of 491, 434, 416, 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 491, 434, 416, 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}.