Given numbers are 283,791,224,140,272

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

The LCM of 283,791,224,140,272 is 608880160.

Find LCM of 283,791,224,140,272 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 283 x 113 x 2 x 5 x 17 = 608880160

Therefore, the lowest common multiple of 283,791,224,140,272 is 608880160.

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.

283 x 791 x 224 x 140 x 272 = 1909448181760

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.

283 : 1, 283

791 : 1, 7, 113, 791

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,791,224,140,272, is 1.

Now, the common factors can be found like this.

283:283

791:7x 113

224:2x 2x 2x 2x 2x 7

140:2x 2x 5x 7

272:2x 2x 2x 2x 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 2x 2x 7x 7 = 3136

Therefore, the value for common factors is 3136.

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 = 1909448181760/(1x3136)

LCM = 1909448181760/3136

LCM = 608880160

Thus, we can understand that the LCM of 283,791,224,140,272 is 608880160.

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

• LCM of 447, 402, 662, 312, 559
• LCM of 609, 123, 228, 897, 125
• LCM of 959, 931, 788, 883, 832
• LCM of 108, 210, 572, 359, 147
• LCM of 445, 875, 854, 810, 277

1. What is the LCM of 283, 791, 224, 140, 272?

Answer: LCM of 283, 791, 224, 140, 272 is 608880160.

2. How to calculate the LCM of 283, 791, 224, 140, 272?

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 283, 791, 224, 140, 272.

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}.