Given numbers are 343,138,611,989,619

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

The LCM of 343,138,611,989,619 is 769792226658.

Find LCM of 343,138,611,989,619 with Prime Factorization

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

23 x 343 x 6 x 611 x 43 x 619 = 769792226658

Therefore, the lowest common multiple of 343,138,611,989,619 is 769792226658.

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.

343 x 138 x 611 x 989 x 619 = 17705221213134

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.

343 : 1, 7, 49, 343

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

611 : 1, 13, 47, 611

989 : 1, 23, 43, 989

619 : 1, 619

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,138,611,989,619, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

138:2x 3x 23

611:13x 47

989:23x 43

619:619

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

23 = 23

Therefore, the value for common factors is 23.

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 = 17705221213134/(1x23)

LCM = 17705221213134/23

LCM = 769792226658

Thus, we can understand that the LCM of 343,138,611,989,619 is 769792226658.

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

• LCM of 631, 640, 311, 302, 599
• LCM of 495, 821, 328, 394, 657
• LCM of 417, 243, 688, 528, 116
• LCM of 711, 828, 717, 156, 320
• LCM of 457, 577, 908, 739, 354

1. What is the LCM of 343, 138, 611, 989, 619?

Answer: LCM of 343, 138, 611, 989, 619 is 769792226658.

2. How to calculate the LCM of 343, 138, 611, 989, 619?

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 343, 138, 611, 989, 619.

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}.