Given numbers are 475,642,713,428

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

The LCM of 475,642,713,428 is 434858700.

Find LCM of 475,642,713,428 with Prime Factorization

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

2 x 107 x 475 x 3 x 713 x 2 = 434858700

Therefore, the lowest common multiple of 475,642,713,428 is 434858700.

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.

475 x 642 x 713 x 428 = 93059761800

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.

475 : 1, 5, 19, 25, 95, 475

642 : 1, 2, 3, 6, 107, 214, 321, 642

713 : 1, 23, 31, 713

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,642,713,428, is 1.

Now, the common factors can be found like this.

475:5x 5x 19

642:2x 3x 107

713:23x 31

428:2x 2x 107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 93059761800/(1x214)

LCM = 93059761800/214

LCM = 434858700

Thus, we can understand that the LCM of 475,642,713,428 is 434858700.

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

• LCM of 942, 865, 878, 671
• LCM of 785, 151, 303, 836
• LCM of 124, 742, 282, 625
• LCM of 605, 928, 901, 843
• LCM of 778, 947, 711, 644

1. What is the LCM of 475, 642, 713, 428?

Answer: LCM of 475, 642, 713, 428 is 434858700.

2. How to calculate the LCM of 475, 642, 713, 428?

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 475, 642, 713, 428.

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}.