Given numbers are 234,398,635,140

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

The LCM of 234,398,635,140 is 413971740.

Find LCM of 234,398,635,140 with Prime Factorization

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

2 x 5 x 117 x 199 x 127 x 14 = 413971740

Therefore, the lowest common multiple of 234,398,635,140 is 413971740.

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.

234 x 398 x 635 x 140 = 8279434800

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

398 : 1, 2, 199, 398

635 : 1, 5, 127, 635

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,398,635,140, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

398:2x 199

635:5x 127

140:2x 2x 5x 7

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

2x 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 8279434800/(1x20)

LCM = 8279434800/20

LCM = 413971740

Thus, we can understand that the LCM of 234,398,635,140 is 413971740.

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

• LCM of 311, 756, 479, 732
• LCM of 303, 680, 198, 512
• LCM of 649, 114, 553, 290
• LCM of 105, 298, 972, 690
• LCM of 882, 680, 505, 429

1. What is the LCM of 234, 398, 635, 140?

Answer: LCM of 234, 398, 635, 140 is 413971740.

2. How to calculate the LCM of 234, 398, 635, 140?

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 234, 398, 635, 140.

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}.