Given numbers are 743,234,268,299

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

The LCM of 743,234,268,299 is 535842684.

Find LCM of 743,234,268,299 with Prime Factorization

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

2 x 13 x 743 x 9 x 134 x 23 = 535842684

Therefore, the lowest common multiple of 743,234,268,299 is 535842684.

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.

743 x 234 x 268 x 299 = 13931909784

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.

743 : 1, 743

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,234,268,299, is 1.

Now, the common factors can be found like this.

743:743

234:2x 3x 3x 13

268:2x 2x 67

299:13x 23

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 13931909784/(1x26)

LCM = 13931909784/26

LCM = 535842684

Thus, we can understand that the LCM of 743,234,268,299 is 535842684.

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

• LCM of 193, 454, 229, 189
• LCM of 756, 770, 662, 950
• LCM of 667, 653, 869, 912
• LCM of 165, 882, 128, 991
• LCM of 242, 117, 297, 849

1. What is the LCM of 743, 234, 268, 299?

Answer: LCM of 743, 234, 268, 299 is 535842684.

2. How to calculate the LCM of 743, 234, 268, 299?

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 743, 234, 268, 299.

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}.