Given numbers are 747,269,268,726

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

The LCM of 747,269,268,726 is 6516179604.

Find LCM of 747,269,268,726 with Prime Factorization

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

2 x 3 x 249 x 269 x 134 x 121 = 6516179604

Therefore, the lowest common multiple of 747,269,268,726 is 6516179604.

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.

747 x 269 x 268 x 726 = 39097077624

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.

747 : 1, 3, 9, 83, 249, 747

269 : 1, 269

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

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,269,268,726, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

269:269

268:2x 2x 67

726:2x 3x 11x 11

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 = 39097077624/(1x6)

LCM = 39097077624/6

LCM = 6516179604

Thus, we can understand that the LCM of 747,269,268,726 is 6516179604.

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

• LCM of 826, 384, 491, 630
• LCM of 782, 693, 595, 638
• LCM of 512, 862, 299, 442
• LCM of 304, 274, 486, 149
• LCM of 293, 337, 855, 688

1. What is the LCM of 747, 269, 268, 726?

Answer: LCM of 747, 269, 268, 726 is 6516179604.

2. How to calculate the LCM of 747, 269, 268, 726?

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 747, 269, 268, 726.

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}.