Given numbers are 742,419,371

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

The LCM of 742,419,371 is 310898.

Find LCM of 742,419,371 with Prime Factorization

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

7 x 53 x 2 x 419 x 1 = 310898

Therefore, the lowest common multiple of 742,419,371 is 310898.

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.

742 x 419 x 371 = 115343158

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

419 : 1, 419

371 : 1, 7, 53, 371

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,419,371, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

419:419

371:7x 53

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

7x 53 = 371

Therefore, the value for common factors is 371.

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 = 115343158/(1x371)

LCM = 115343158/371

LCM = 310898

Thus, we can understand that the LCM of 742,419,371 is 310898.

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

• LCM of 405, 158, 391
• LCM of 788, 129, 285
• LCM of 102, 546, 234
• LCM of 992, 764, 134
• LCM of 703, 587, 316

1. What is the LCM of 742, 419, 371?

Answer: LCM of 742, 419, 371 is 310898.

2. How to calculate the LCM of 742, 419, 371?

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 742, 419, 371.

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}.