Given numbers are 314,124,424,651,692

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

The LCM of 314,124,424,651,692 is 7497087864.

Find LCM of 314,124,424,651,692 with Prime Factorization

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

2 x 2 x 31 x 157 x 1 x 106 x 21 x 173 = 7497087864

Therefore, the lowest common multiple of 314,124,424,651,692 is 7497087864.

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.

314 x 124 x 424 x 651 x 692 = 7437111161088

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.

314 : 1, 2, 157, 314

124 : 1, 2, 4, 31, 62, 124

424 : 1, 2, 4, 8, 53, 106, 212, 424

651 : 1, 3, 7, 21, 31, 93, 217, 651

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,124,424,651,692, is 1.

Now, the common factors can be found like this.

314:2x 157

124:2x 2x 31

424:2x 2x 2x 53

651:3x 7x 31

692:2x 2x 173

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 31 = 992

Therefore, the value for common factors is 992.

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 = 7437111161088/(1x992)

LCM = 7437111161088/992

LCM = 7497087864

Thus, we can understand that the LCM of 314,124,424,651,692 is 7497087864.

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

• LCM of 881, 782, 363, 999, 668
• LCM of 896, 301, 569, 280, 371
• LCM of 990, 748, 155, 782, 130
• LCM of 274, 214, 916, 490, 192
• LCM of 901, 515, 613, 878, 633

1. What is the LCM of 314, 124, 424, 651, 692?

Answer: LCM of 314, 124, 424, 651, 692 is 7497087864.

2. How to calculate the LCM of 314, 124, 424, 651, 692?

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 314, 124, 424, 651, 692.

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}.