Given numbers are 723,676,889,284

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

The LCM of 723,676,889,284 is 30849285012.

Find LCM of 723,676,889,284 with Prime Factorization

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

2 x 2 x 723 x 169 x 889 x 71 = 30849285012

Therefore, the lowest common multiple of 723,676,889,284 is 30849285012.

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.

723 x 676 x 889 x 284 = 123397140048

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.

723 : 1, 3, 241, 723

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

889 : 1, 7, 127, 889

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,676,889,284, is 1.

Now, the common factors can be found like this.

723:3x 241

676:2x 2x 13x 13

889:7x 127

284:2x 2x 71

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 123397140048/(1x4)

LCM = 123397140048/4

LCM = 30849285012

Thus, we can understand that the LCM of 723,676,889,284 is 30849285012.

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

• LCM of 780, 926, 839, 542
• LCM of 436, 595, 684, 600
• LCM of 209, 430, 890, 227
• LCM of 863, 999, 508, 423
• LCM of 841, 778, 420, 147

1. What is the LCM of 723, 676, 889, 284?

Answer: LCM of 723, 676, 889, 284 is 30849285012.

2. How to calculate the LCM of 723, 676, 889, 284?

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 723, 676, 889, 284.

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}.