Given numbers are 743,214,442,260

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

The LCM of 743,214,442,260 is 351394420.

Find LCM of 743,214,442,260 with Prime Factorization

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

2 x 13 x 743 x 107 x 17 x 10 = 351394420

Therefore, the lowest common multiple of 743,214,442,260 is 351394420.

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 214 x 442 x 260 = 18272509840

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

214 : 1, 2, 107, 214

442 : 1, 2, 13, 17, 26, 34, 221, 442

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,214,442,260, is 1.

Now, the common factors can be found like this.

743:743

214:2x 107

442:2x 13x 17

260:2x 2x 5x 13

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 13 = 52

Therefore, the value for common factors is 52.

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 = 18272509840/(1x52)

LCM = 18272509840/52

LCM = 351394420

Thus, we can understand that the LCM of 743,214,442,260 is 351394420.

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

• LCM of 151, 975, 489, 893
• LCM of 833, 816, 416, 171
• LCM of 978, 243, 222, 993
• LCM of 316, 198, 594, 123
• LCM of 802, 873, 980, 594

1. What is the LCM of 743, 214, 442, 260?

Answer: LCM of 743, 214, 442, 260 is 351394420.

2. How to calculate the LCM of 743, 214, 442, 260?

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, 214, 442, 260.

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}.