Given numbers are 826,748,353

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

The LCM of 826,748,353 is 109050172.

Find LCM of 826,748,353 with Prime Factorization

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

2 x 413 x 374 x 353 = 109050172

Therefore, the lowest common multiple of 826,748,353 is 109050172.

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.

826 x 748 x 353 = 218100344

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.

826 : 1, 2, 7, 14, 59, 118, 413, 826

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,748,353, is 1.

Now, the common factors can be found like this.

826:2x 7x 59

748:2x 2x 11x 17

353:353

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

2 = 2

Therefore, the value for common factors is 2.

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 = 218100344/(1x2)

LCM = 218100344/2

LCM = 109050172

Thus, we can understand that the LCM of 826,748,353 is 109050172.

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

• LCM of 473, 829, 750
• LCM of 152, 473, 629
• LCM of 225, 978, 466
• LCM of 481, 766, 898
• LCM of 261, 442, 868

1. What is the LCM of 826, 748, 353?

Answer: LCM of 826, 748, 353 is 109050172.

2. How to calculate the LCM of 826, 748, 353?

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 826, 748, 353.

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}.