Given numbers are 674,116,828,936

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

The LCM of 674,116,828,936 is 210393144.

Find LCM of 674,116,828,936 with Prime Factorization

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

2 x 2 x 3 x 3 x 337 x 29 x 23 x 26 = 210393144

Therefore, the lowest common multiple of 674,116,828,936 is 210393144.

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.

674 x 116 x 828 x 936 = 60593225472

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.

674 : 1, 2, 337, 674

116 : 1, 2, 4, 29, 58, 116

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,116,828,936, is 2.

Now, the common factors can be found like this.

674:2x 337

116:2x 2x 29

828:2x 2x 3x 3x 23

936:2x 2x 2x 3x 3x 13

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 60593225472/(2x144)

LCM = 60593225472/288

LCM = 210393144

Thus, we can understand that the LCM of 674,116,828,936 is 210393144.

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

• LCM of 491, 923, 100, 405
• LCM of 488, 561, 654, 279
• LCM of 292, 775, 248, 807
• LCM of 112, 336, 949, 233
• LCM of 758, 652, 319, 528

1. What is the LCM of 674, 116, 828, 936?

Answer: LCM of 674, 116, 828, 936 is 210393144.

2. How to calculate the LCM of 674, 116, 828, 936?

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 674, 116, 828, 936.

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}.