Given numbers are 349,570,507,677

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

The LCM of 349,570,507,677 is 22760178090.

Find LCM of 349,570,507,677 with Prime Factorization

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

3 x 349 x 190 x 169 x 677 = 22760178090

Therefore, the lowest common multiple of 349,570,507,677 is 22760178090.

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.

349 x 570 x 507 x 677 = 68280534270

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.

349 : 1, 349

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

507 : 1, 3, 13, 39, 169, 507

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,570,507,677, is 1.

Now, the common factors can be found like this.

349:349

570:2x 3x 5x 19

507:3x 13x 13

677:677

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

3 = 3

Therefore, the value for common factors is 3.

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 = 68280534270/(1x3)

LCM = 68280534270/3

LCM = 22760178090

Thus, we can understand that the LCM of 349,570,507,677 is 22760178090.

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

• LCM of 580, 867, 632, 644
• LCM of 198, 469, 924, 999
• LCM of 854, 362, 417, 902
• LCM of 926, 589, 644, 542
• LCM of 668, 699, 624, 946

1. What is the LCM of 349, 570, 507, 677?

Answer: LCM of 349, 570, 507, 677 is 22760178090.

2. How to calculate the LCM of 349, 570, 507, 677?

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 349, 570, 507, 677.

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}.