Given numbers are 194,230,254,684

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

The LCM of 194,230,254,684 is 969012540.

Find LCM of 194,230,254,684 with Prime Factorization

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

2 x 97 x 115 x 127 x 342 = 969012540

Therefore, the lowest common multiple of 194,230,254,684 is 969012540.

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.

194 x 230 x 254 x 684 = 7752100320

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.

194 : 1, 2, 97, 194

230 : 1, 2, 5, 10, 23, 46, 115, 230

254 : 1, 2, 127, 254

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,230,254,684, is 2.

Now, the common factors can be found like this.

194:2x 97

230:2x 5x 23

254:2x 127

684:2x 2x 3x 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.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 7752100320/(2x4)

LCM = 7752100320/8

LCM = 969012540

Thus, we can understand that the LCM of 194,230,254,684 is 969012540.

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

• LCM of 682, 814, 874, 610
• LCM of 432, 479, 784, 812
• LCM of 781, 825, 966, 501
• LCM of 858, 751, 498, 430
• LCM of 120, 279, 273, 413

1. What is the LCM of 194, 230, 254, 684?

Answer: LCM of 194, 230, 254, 684 is 969012540.

2. How to calculate the LCM of 194, 230, 254, 684?

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 194, 230, 254, 684.

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}.