Given numbers are 761,514,728,343

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

The LCM of 761,514,728,343 is 6976622744.

Find LCM of 761,514,728,343 with Prime Factorization

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

2 x 7 x 761 x 257 x 52 x 49 = 6976622744

Therefore, the lowest common multiple of 761,514,728,343 is 6976622744.

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.

761 x 514 x 728 x 343 = 97672718416

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.

761 : 1, 761

514 : 1, 2, 257, 514

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,514,728,343, is 1.

Now, the common factors can be found like this.

761:761

514:2x 257

728:2x 2x 2x 7x 13

343:7x 7x 7

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 97672718416/(1x14)

LCM = 97672718416/14

LCM = 6976622744

Thus, we can understand that the LCM of 761,514,728,343 is 6976622744.

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

• LCM of 874, 806, 629, 250
• LCM of 978, 531, 355, 519
• LCM of 778, 340, 535, 254
• LCM of 231, 879, 154, 937
• LCM of 212, 452, 656, 385

1. What is the LCM of 761, 514, 728, 343?

Answer: LCM of 761, 514, 728, 343 is 6976622744.

2. How to calculate the LCM of 761, 514, 728, 343?

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 761, 514, 728, 343.

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}.