Given numbers are 734,596,278,226,672

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

The LCM of 734,596,278,226,672 is 577184752032.

Find LCM of 734,596,278,226,672 with Prime Factorization

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

2 x 2 x 367 x 149 x 139 x 113 x 168 = 577184752032

Therefore, the lowest common multiple of 734,596,278,226,672 is 577184752032.

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.

734 x 596 x 278 x 226 x 672 = 18469912065024

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.

734 : 1, 2, 367, 734

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

278 : 1, 2, 139, 278

226 : 1, 2, 113, 226

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 734,596,278,226,672, is 2.

Now, the common factors can be found like this.

734:2x 367

596:2x 2x 149

278:2x 139

226:2x 113

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 2 = 16

Therefore, the value for common factors is 16.

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 = 18469912065024/(2x16)

LCM = 18469912065024/32

LCM = 577184752032

Thus, we can understand that the LCM of 734,596,278,226,672 is 577184752032.

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

• LCM of 927, 554, 304, 302, 526
• LCM of 761, 770, 478, 609, 495
• LCM of 749, 234, 676, 240, 792
• LCM of 721, 853, 397, 986, 876
• LCM of 536, 583, 273, 412, 243

1. What is the LCM of 734, 596, 278, 226, 672?

Answer: LCM of 734, 596, 278, 226, 672 is 577184752032.

2. How to calculate the LCM of 734, 596, 278, 226, 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 734, 596, 278, 226, 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}.