Given numbers are 234,276,421,31

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

The LCM of 234,276,421,31 is 140480964.

Find LCM of 234,276,421,31 with Prime Factorization

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

2 x 3 x 39 x 46 x 421 x 31 = 140480964

Therefore, the lowest common multiple of 234,276,421,31 is 140480964.

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 276 x 421 x 31 = 842885784

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

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

421 : 1, 421

31 : 1, 31

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,276,421,31, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

276:2x 2x 3x 23

421:421

31:31

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 842885784/(1x6)

LCM = 842885784/6

LCM = 140480964

Thus, we can understand that the LCM of 234,276,421,31 is 140480964.

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

• LCM of 344, 296, 793, 94
• LCM of 388, 176, 945, 64
• LCM of 411, 383, 511, 39
• LCM of 613, 433, 734, 82
• LCM of 763, 144, 463, 14

1. What is the LCM of 234, 276, 421, 31?

Answer: LCM of 234, 276, 421, 31 is 140480964.

2. How to calculate the LCM of 234, 276, 421, 31?

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, 276, 421, 31.

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}.