Given numbers are 740,361,551,314

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

The LCM of 740,361,551,314 is 1216288420.

Find LCM of 740,361,551,314 with Prime Factorization

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

2 x 19 x 370 x 19 x 29 x 157 = 1216288420

Therefore, the lowest common multiple of 740,361,551,314 is 1216288420.

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.

740 x 361 x 551 x 314 = 46218959960

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.

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

361 : 1, 19, 361

551 : 1, 19, 29, 551

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,361,551,314, is 1.

Now, the common factors can be found like this.

740:2x 2x 5x 37

361:19x 19

551:19x 29

314:2x 157

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 46218959960/(1x38)

LCM = 46218959960/38

LCM = 1216288420

Thus, we can understand that the LCM of 740,361,551,314 is 1216288420.

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

• LCM of 859, 570, 307, 461
• LCM of 947, 520, 202, 196
• LCM of 734, 545, 948, 627
• LCM of 672, 600, 991, 677
• LCM of 766, 601, 183, 258

1. What is the LCM of 740, 361, 551, 314?

Answer: LCM of 740, 361, 551, 314 is 1216288420.

2. How to calculate the LCM of 740, 361, 551, 314?

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 740, 361, 551, 314.

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}.