Given numbers are 272,328,971,170

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

The LCM of 272,328,971,170 is 54142960.

Find LCM of 272,328,971,170 with Prime Factorization

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

2 x 2 x 2 x 17 x 2 x 41 x 971 x 5 = 54142960

Therefore, the lowest common multiple of 272,328,971,170 is 54142960.

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.

272 x 328 x 971 x 170 = 14726885120

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.

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

328 : 1, 2, 4, 8, 41, 82, 164, 328

971 : 1, 971

170 : 1, 2, 5, 10, 17, 34, 85, 170

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,328,971,170, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

328:2x 2x 2x 41

971:971

170:2x 5x 17

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 2x 17 = 272

Therefore, the value for common factors is 272.

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 = 14726885120/(1x272)

LCM = 14726885120/272

LCM = 54142960

Thus, we can understand that the LCM of 272,328,971,170 is 54142960.

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

• LCM of 304, 959, 539, 954
• LCM of 101, 830, 352, 540
• LCM of 540, 645, 644, 945
• LCM of 223, 118, 558, 867
• LCM of 885, 904, 931, 483

1. What is the LCM of 272, 328, 971, 170?

Answer: LCM of 272, 328, 971, 170 is 54142960.

2. How to calculate the LCM of 272, 328, 971, 170?

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 272, 328, 971, 170.

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}.