Given numbers are 126,688,424,268,536

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

The LCM of 126,688,424,268,536 is 153914544.

Find LCM of 126,688,424,268,536 with Prime Factorization

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

2 x 2 x 2 x 67 x 63 x 86 x 53 x 1 x 1 = 153914544

Therefore, the lowest common multiple of 126,688,424,268,536 is 153914544.

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.

126 x 688 x 424 x 268 x 536 = 5279884517376

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.

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

424 : 1, 2, 4, 8, 53, 106, 212, 424

268 : 1, 2, 4, 67, 134, 268

536 : 1, 2, 4, 8, 67, 134, 268, 536

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,688,424,268,536, is 2.

Now, the common factors can be found like this.

126:2x 3x 3x 7

688:2x 2x 2x 2x 43

424:2x 2x 2x 53

268:2x 2x 67

536:2x 2x 2x 67

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 2x 2x 67 = 17152

Therefore, the value for common factors is 17152.

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 = 5279884517376/(2x17152)

LCM = 5279884517376/34304

LCM = 153914544

Thus, we can understand that the LCM of 126,688,424,268,536 is 153914544.

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

• LCM of 624, 246, 959, 816, 795
• LCM of 668, 484, 675, 932, 668
• LCM of 119, 701, 354, 928, 763
• LCM of 975, 607, 145, 222, 366
• LCM of 918, 457, 818, 746, 964

1. What is the LCM of 126, 688, 424, 268, 536?

Answer: LCM of 126, 688, 424, 268, 536 is 153914544.

2. How to calculate the LCM of 126, 688, 424, 268, 536?

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 126, 688, 424, 268, 536.

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}.