Given numbers are 268,414,349,753

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

The LCM of 268,414,349,753 is 4859642124.

Find LCM of 268,414,349,753 with Prime Factorization

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

2 x 3 x 134 x 69 x 349 x 251 = 4859642124

Therefore, the lowest common multiple of 268,414,349,753 is 4859642124.

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.

268 x 414 x 349 x 753 = 29157852744

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.

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

349 : 1, 349

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,414,349,753, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

414:2x 3x 3x 23

349:349

753:3x 251

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 29157852744/(1x6)

LCM = 29157852744/6

LCM = 4859642124

Thus, we can understand that the LCM of 268,414,349,753 is 4859642124.

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

• LCM of 298, 947, 312, 423
• LCM of 431, 201, 560, 542
• LCM of 705, 942, 687, 507
• LCM of 999, 373, 106, 962
• LCM of 712, 835, 408, 684

1. What is the LCM of 268, 414, 349, 753?

Answer: LCM of 268, 414, 349, 753 is 4859642124.

2. How to calculate the LCM of 268, 414, 349, 753?

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 268, 414, 349, 753.

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}.