Given numbers are 274,692,596,936,568

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

The LCM of 274,692,596,936,568 is 234685974744.

Find LCM of 274,692,596,936,568 with Prime Factorization

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

2 x 2 x 2 x 137 x 173 x 149 x 117 x 71 = 234685974744

Therefore, the lowest common multiple of 274,692,596,936,568 is 234685974744.

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.

274 x 692 x 596 x 936 x 568 = 60079609534464

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.

274 : 1, 2, 137, 274

692 : 1, 2, 4, 173, 346, 692

596 : 1, 2, 4, 149, 298, 596

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

568 : 1, 2, 4, 8, 71, 142, 284, 568

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,692,596,936,568, is 2.

Now, the common factors can be found like this.

274:2x 137

692:2x 2x 173

596:2x 2x 149

936:2x 2x 2x 3x 3x 13

568:2x 2x 2x 71

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 2 = 128

Therefore, the value for common factors is 128.

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 = 60079609534464/(2x128)

LCM = 60079609534464/256

LCM = 234685974744

Thus, we can understand that the LCM of 274,692,596,936,568 is 234685974744.

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

• LCM of 197, 378, 457, 607, 285
• LCM of 832, 309, 569, 262, 603
• LCM of 456, 204, 305, 672, 913
• LCM of 837, 811, 647, 540, 695
• LCM of 221, 648, 823, 581, 835

1. What is the LCM of 274, 692, 596, 936, 568?

Answer: LCM of 274, 692, 596, 936, 568 is 234685974744.

2. How to calculate the LCM of 274, 692, 596, 936, 568?

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 274, 692, 596, 936, 568.

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}.