Given numbers are 756,514,421

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

The LCM of 756,514,421 is 81796932.

Find LCM of 756,514,421 with Prime Factorization

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

2 x 378 x 257 x 421 = 81796932

Therefore, the lowest common multiple of 756,514,421 is 81796932.

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.

756 x 514 x 421 = 163593864

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

514 : 1, 2, 257, 514

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,514,421, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

514:2x 257

421:421

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

2 = 2

Therefore, the value for common factors is 2.

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 = 163593864/(1x2)

LCM = 163593864/2

LCM = 81796932

Thus, we can understand that the LCM of 756,514,421 is 81796932.

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

• LCM of 971, 950, 956
• LCM of 222, 606, 315
• LCM of 218, 216, 342
• LCM of 648, 804, 794
• LCM of 189, 314, 515

1. What is the LCM of 756, 514, 421?

Answer: LCM of 756, 514, 421 is 81796932.

2. How to calculate the LCM of 756, 514, 421?

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 756, 514, 421.

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}.