Given numbers are 757,214,516,672

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

The LCM of 757,214,516,672 is 2340547104.

Find LCM of 757,214,516,672 with Prime Factorization

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

2 x 2 x 3 x 757 x 107 x 43 x 56 = 2340547104

Therefore, the lowest common multiple of 757,214,516,672 is 2340547104.

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.

757 x 214 x 516 x 672 = 56173130496

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.

757 : 1, 757

214 : 1, 2, 107, 214

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,214,516,672, is 1.

Now, the common factors can be found like this.

757:757

214:2x 107

516:2x 2x 3x 43

672:2x 2x 2x 2x 2x 3x 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 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 56173130496/(1x24)

LCM = 56173130496/24

LCM = 2340547104

Thus, we can understand that the LCM of 757,214,516,672 is 2340547104.

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

• LCM of 271, 244, 412, 548
• LCM of 810, 861, 312, 687
• LCM of 955, 102, 659, 791
• LCM of 189, 939, 463, 932
• LCM of 467, 152, 259, 325

1. What is the LCM of 757, 214, 516, 672?

Answer: LCM of 757, 214, 516, 672 is 2340547104.

2. How to calculate the LCM of 757, 214, 516, 672?

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 757, 214, 516, 672.

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}.