Given numbers are 293,532,942,828,537

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

The LCM of 293,532,942,828,537 is 906780728196.

Find LCM of 293,532,942,828,537 with Prime Factorization

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

2 x 2 x 3 x 293 x 133 x 157 x 69 x 179 = 906780728196

Therefore, the lowest common multiple of 293,532,942,828,537 is 906780728196.

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.

293 x 532 x 942 x 828 x 537 = 65288212430112

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.

293 : 1, 293

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

942 : 1, 2, 3, 6, 157, 314, 471, 942

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

537 : 1, 3, 179, 537

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,532,942,828,537, is 1.

Now, the common factors can be found like this.

293:293

532:2x 2x 7x 19

942:2x 3x 157

828:2x 2x 3x 3x 23

537:3x 179

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 65288212430112/(1x72)

LCM = 65288212430112/72

LCM = 906780728196

Thus, we can understand that the LCM of 293,532,942,828,537 is 906780728196.

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

• LCM of 604, 883, 561, 781, 423
• LCM of 675, 846, 200, 354, 465
• LCM of 406, 793, 567, 253, 795
• LCM of 507, 987, 390, 392, 154
• LCM of 496, 854, 997, 243, 356

1. What is the LCM of 293, 532, 942, 828, 537?

Answer: LCM of 293, 532, 942, 828, 537 is 906780728196.

2. How to calculate the LCM of 293, 532, 942, 828, 537?

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 293, 532, 942, 828, 537.

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}.