Given numbers are 921,701,138,314

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

The LCM of 921,701,138,314 is 4662674862.

Find LCM of 921,701,138,314 with Prime Factorization

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

2 x 3 x 307 x 701 x 23 x 157 = 4662674862

Therefore, the lowest common multiple of 921,701,138,314 is 4662674862.

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.

921 x 701 x 138 x 314 = 27976049172

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.

921 : 1, 3, 307, 921

701 : 1, 701

138 : 1, 2, 3, 6, 23, 46, 69, 138

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,701,138,314, is 1.

Now, the common factors can be found like this.

921:3x 307

701:701

138:2x 3x 23

314:2x 157

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 27976049172/(1x6)

LCM = 27976049172/6

LCM = 4662674862

Thus, we can understand that the LCM of 921,701,138,314 is 4662674862.

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

• LCM of 595, 516, 939, 846
• LCM of 179, 275, 674, 668
• LCM of 140, 772, 275, 405
• LCM of 370, 755, 466, 783
• LCM of 597, 932, 933, 503

1. What is the LCM of 921, 701, 138, 314?

Answer: LCM of 921, 701, 138, 314 is 4662674862.

2. How to calculate the LCM of 921, 701, 138, 314?

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 921, 701, 138, 314.

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}.