Given numbers are 275,211,252,978

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

The LCM of 275,211,252,978 is 2383434900.

Find LCM of 275,211,252,978 with Prime Factorization

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

2 x 3 x 275 x 211 x 42 x 163 = 2383434900

Therefore, the lowest common multiple of 275,211,252,978 is 2383434900.

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.

275 x 211 x 252 x 978 = 14300609400

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.

275 : 1, 5, 11, 25, 55, 275

211 : 1, 211

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 275,211,252,978, is 1.

Now, the common factors can be found like this.

275:5x 5x 11

211:211

252:2x 2x 3x 3x 7

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 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 = 14300609400/(1x6)

LCM = 14300609400/6

LCM = 2383434900

Thus, we can understand that the LCM of 275,211,252,978 is 2383434900.

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

• LCM of 727, 662, 737, 780
• LCM of 552, 888, 789, 985
• LCM of 849, 308, 382, 499
• LCM of 993, 255, 103, 204
• LCM of 760, 359, 870, 459

1. What is the LCM of 275, 211, 252, 978?

Answer: LCM of 275, 211, 252, 978 is 2383434900.

2. How to calculate the LCM of 275, 211, 252, 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 275, 211, 252, 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}.