Given numbers are 202,254,314,978

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

The LCM of 202,254,314,978 is 1969534542.

Find LCM of 202,254,314,978 with Prime Factorization

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

2 x 101 x 127 x 157 x 489 = 1969534542

Therefore, the lowest common multiple of 202,254,314,978 is 1969534542.

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.

202 x 254 x 314 x 978 = 15756276336

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.

202 : 1, 2, 101, 202

254 : 1, 2, 127, 254

314 : 1, 2, 157, 314

978 : 1, 2, 3, 6, 163, 326, 489, 978

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,254,314,978, is 2.

Now, the common factors can be found like this.

202:2x 101

254:2x 127

314:2x 157

978:2x 3x 163

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 = 15756276336/(2x4)

LCM = 15756276336/8

LCM = 1969534542

Thus, we can understand that the LCM of 202,254,314,978 is 1969534542.

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

• LCM of 280, 147, 422, 787
• LCM of 177, 608, 652, 494
• LCM of 619, 821, 921, 885
• LCM of 721, 982, 507, 609
• LCM of 160, 685, 523, 441

1. What is the LCM of 202, 254, 314, 978?

Answer: LCM of 202, 254, 314, 978 is 1969534542.

2. How to calculate the LCM of 202, 254, 314, 978?

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 202, 254, 314, 978.

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}.