Given numbers are 378,142,548

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

The LCM of 378,142,548 is 7353612.

Find LCM of 378,142,548 with Prime Factorization

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

2 x 189 x 71 x 274 = 7353612

Therefore, the lowest common multiple of 378,142,548 is 7353612.

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.

378 x 142 x 548 = 29414448

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

142 : 1, 2, 71, 142

548 : 1, 2, 4, 137, 274, 548

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,142,548, is 2.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

142:2x 71

548:2x 2x 137

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 = 29414448/(2x2)

LCM = 29414448/4

LCM = 7353612

Thus, we can understand that the LCM of 378,142,548 is 7353612.

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

• LCM of 547, 340, 656
• LCM of 816, 682, 923
• LCM of 708, 688, 190
• LCM of 172, 793, 234
• LCM of 259, 522, 680

1. What is the LCM of 378, 142, 548?

Answer: LCM of 378, 142, 548 is 7353612.

2. How to calculate the LCM of 378, 142, 548?

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 378, 142, 548.

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}.