Given numbers are 292,338,702,437,874

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

The LCM of 292,338,702,437,874 is 582257052.

Find LCM of 292,338,702,437,874 with Prime Factorization

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

2 x 13 x 19 x 23 x 146 x 13 x 27 x 1 x 1 = 582257052

Therefore, the lowest common multiple of 292,338,702,437,874 is 582257052.

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.

292 x 338 x 702 x 437 x 874 = 26462418499296

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.

292 : 1, 2, 4, 73, 146, 292

338 : 1, 2, 13, 26, 169, 338

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

437 : 1, 19, 23, 437

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,338,702,437,874, is 1.

Now, the common factors can be found like this.

292:2x 2x 73

338:2x 13x 13

702:2x 3x 3x 3x 13

437:19x 23

874:2x 19x 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 13x 19x 23 = 45448

Therefore, the value for common factors is 45448.

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 = 26462418499296/(1x45448)

LCM = 26462418499296/45448

LCM = 582257052

Thus, we can understand that the LCM of 292,338,702,437,874 is 582257052.

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

• LCM of 627, 656, 200, 393, 696
• LCM of 823, 310, 921, 983, 697
• LCM of 836, 163, 806, 676, 963
• LCM of 744, 219, 959, 573, 423
• LCM of 472, 236, 275, 132, 837

1. What is the LCM of 292, 338, 702, 437, 874?

Answer: LCM of 292, 338, 702, 437, 874 is 582257052.

2. How to calculate the LCM of 292, 338, 702, 437, 874?

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 292, 338, 702, 437, 874.

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}.