Given numbers are 752,214,596,672

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

The LCM of 752,214,596,672 is 503543712.

Find LCM of 752,214,596,672 with Prime Factorization

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

2 x 2 x 2 x 2 x 47 x 107 x 149 x 42 = 503543712

Therefore, the lowest common multiple of 752,214,596,672 is 503543712.

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.

752 x 214 x 596 x 672 = 64453595136

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.

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

214 : 1, 2, 107, 214

596 : 1, 2, 4, 149, 298, 596

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,214,596,672, is 2.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

214:2x 107

596:2x 2x 149

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 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 64453595136/(2x64)

LCM = 64453595136/128

LCM = 503543712

Thus, we can understand that the LCM of 752,214,596,672 is 503543712.

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

• LCM of 587, 195, 951, 149
• LCM of 920, 469, 355, 114
• LCM of 995, 696, 162, 672
• LCM of 245, 858, 544, 892
• LCM of 979, 924, 533, 957

1. What is the LCM of 752, 214, 596, 672?

Answer: LCM of 752, 214, 596, 672 is 503543712.

2. How to calculate the LCM of 752, 214, 596, 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 752, 214, 596, 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}.