Given numbers are 747,345,514,104

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

The LCM of 747,345,514,104 is 2296068840.

Find LCM of 747,345,514,104 with Prime Factorization

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

2 x 3 x 249 x 115 x 257 x 52 = 2296068840

Therefore, the lowest common multiple of 747,345,514,104 is 2296068840.

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 345 x 514 x 104 = 13776413040

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

345 : 1, 3, 5, 15, 23, 69, 115, 345

514 : 1, 2, 257, 514

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,345,514,104, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

345:3x 5x 23

514:2x 257

104:2x 2x 2x 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 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 = 13776413040/(1x6)

LCM = 13776413040/6

LCM = 2296068840

Thus, we can understand that the LCM of 747,345,514,104 is 2296068840.

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

• LCM of 642, 805, 675, 669
• LCM of 328, 525, 296, 946
• LCM of 165, 848, 221, 635
• LCM of 825, 710, 783, 693
• LCM of 235, 268, 604, 121

1. What is the LCM of 747, 345, 514, 104?

Answer: LCM of 747, 345, 514, 104 is 2296068840.

2. How to calculate the LCM of 747, 345, 514, 104?

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, 345, 514, 104.

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}.