Given numbers are 345,253,537,144,829

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

The LCM of 345,253,537,144,829 is 27030904560.

Find LCM of 345,253,537,144,829 with Prime Factorization

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

3 x 23 x 5 x 11 x 179 x 48 x 829 = 27030904560

Therefore, the lowest common multiple of 345,253,537,144,829 is 27030904560.

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.

345 x 253 x 537 x 144 x 829 = 5595397243920

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

253 : 1, 11, 23, 253

537 : 1, 3, 179, 537

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,253,537,144,829, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

253:11x 23

537:3x 179

144:2x 2x 2x 2x 3x 3

829:829

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 5595397243920/(1x207)

LCM = 5595397243920/207

LCM = 27030904560

Thus, we can understand that the LCM of 345,253,537,144,829 is 27030904560.

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

• LCM of 557, 153, 298, 687, 937
• LCM of 186, 208, 718, 376, 310
• LCM of 231, 952, 111, 488, 940
• LCM of 123, 241, 897, 998, 722
• LCM of 391, 100, 500, 806, 946

1. What is the LCM of 345, 253, 537, 144, 829?

Answer: LCM of 345, 253, 537, 144, 829 is 27030904560.

2. How to calculate the LCM of 345, 253, 537, 144, 829?

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 345, 253, 537, 144, 829.

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}.