Given numbers are 785,145,428,57

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

The LCM of 785,145,428,57 is 555374940.

Find LCM of 785,145,428,57 with Prime Factorization

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

5 x 157 x 29 x 428 x 57 = 555374940

Therefore, the lowest common multiple of 785,145,428,57 is 555374940.

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.

785 x 145 x 428 x 57 = 2776874700

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.

785 : 1, 5, 157, 785

145 : 1, 5, 29, 145

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

57 : 1, 3, 19, 57

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,145,428,57, is 1.

Now, the common factors can be found like this.

785:5x 157

145:5x 29

428:2x 2x 107

57:3x 19

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

5 = 5

Therefore, the value for common factors is 5.

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 = 2776874700/(1x5)

LCM = 2776874700/5

LCM = 555374940

Thus, we can understand that the LCM of 785,145,428,57 is 555374940.

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

• LCM of 545, 722, 668, 59
• LCM of 677, 733, 945, 43
• LCM of 345, 543, 158, 86
• LCM of 111, 200, 492, 77
• LCM of 605, 917, 519, 78

1. What is the LCM of 785, 145, 428, 57?

Answer: LCM of 785, 145, 428, 57 is 555374940.

2. How to calculate the LCM of 785, 145, 428, 57?

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 785, 145, 428, 57.

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}.