Given numbers are 370,314,754,232,343

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

The LCM of 370,314,754,232,343 is 30046703960.

Find LCM of 370,314,754,232,343 with Prime Factorization

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

2 x 29 x 185 x 157 x 13 x 4 x 343 = 30046703960

Therefore, the lowest common multiple of 370,314,754,232,343 is 30046703960.

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.

370 x 314 x 754 x 232 x 343 = 6970835318720

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.

370 : 1, 2, 5, 10, 37, 74, 185, 370

314 : 1, 2, 157, 314

754 : 1, 2, 13, 26, 29, 58, 377, 754

232 : 1, 2, 4, 8, 29, 58, 116, 232

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,314,754,232,343, is 1.

Now, the common factors can be found like this.

370:2x 5x 37

314:2x 157

754:2x 13x 29

232:2x 2x 2x 29

343:7x 7x 7

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 29 = 232

Therefore, the value for common factors is 232.

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 = 6970835318720/(1x232)

LCM = 6970835318720/232

LCM = 30046703960

Thus, we can understand that the LCM of 370,314,754,232,343 is 30046703960.

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

• LCM of 861, 280, 298, 948, 964
• LCM of 511, 842, 662, 870, 965
• LCM of 240, 255, 948, 568, 898
• LCM of 949, 479, 165, 111, 334
• LCM of 906, 375, 728, 600, 411

1. What is the LCM of 370, 314, 754, 232, 343?

Answer: LCM of 370, 314, 754, 232, 343 is 30046703960.

2. How to calculate the LCM of 370, 314, 754, 232, 343?

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 370, 314, 754, 232, 343.

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}.