Given numbers are 378,230,537,293,716

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

The LCM of 378,230,537,293,716 is 4559742180.

Find LCM of 378,230,537,293,716 with Prime Factorization

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

2 x 3 x 179 x 63 x 115 x 1 x 293 x 2 = 4559742180

Therefore, the lowest common multiple of 378,230,537,293,716 is 4559742180.

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.

378 x 230 x 537 x 293 x 716 = 9794326202640

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

230 : 1, 2, 5, 10, 23, 46, 115, 230

537 : 1, 3, 179, 537

293 : 1, 293

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,230,537,293,716, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

230:2x 5x 23

537:3x 179

293:293

716:2x 2x 179

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 3x 179 = 2148

Therefore, the value for common factors is 2148.

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 = 9794326202640/(1x2148)

LCM = 9794326202640/2148

LCM = 4559742180

Thus, we can understand that the LCM of 378,230,537,293,716 is 4559742180.

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

• LCM of 906, 734, 334, 562, 993
• LCM of 835, 880, 857, 396, 353
• LCM of 991, 494, 434, 416, 634
• LCM of 941, 763, 159, 198, 277
• LCM of 728, 351, 504, 718, 248

1. What is the LCM of 378, 230, 537, 293, 716?

Answer: LCM of 378, 230, 537, 293, 716 is 4559742180.

2. How to calculate the LCM of 378, 230, 537, 293, 716?

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 378, 230, 537, 293, 716.

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}.