Least Common Multiple of 207, 105, 414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 207, 105, 414 i.e. 14490 smallest integer divisible by all numbers.

Least common multiple (LCM) of 207, 105, 414 is 14490.

LCM(207, 105, 414) = 14490

LCM of 207, 105, 414

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 207,105,414

Least Common Multiple (LCM) of 207,105,414 is 14490

3 207, 105, 414
3 69, 35, 138
23 23, 35, 46
1, 35, 2

∴ So the LCM of the given numbers is 3 x 3 x 23 x 1 x 35 x 2 = 14490

Least Common Multiple of 207,105,414 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 207,105,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(207,105,414) = 3

common factors(in case of two or more numbers have common factors) = 207

GCF(207,105,414) x common factors =3 x 207 = 621

LCM(207,105,414) = ( 207 × 105 × 414 ) / 621

LCM(207,105,414) = 8998290 / 621

LCM(207,105,414) = 14490

∴ Least Common Multiple of 207,105,414 is 14490

LCM of two or more Numbers Calculation Examples

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

Frequently Asked Questions on LCM of 207, 105, 414

1. What is the LCM of 207, 105, 414?

Answer: LCM of 207, 105, 414 is 14490.

2. What are the Factors of 14490?

Answer: Factors of 14490 are . There are integers that are factors of 14490

3. How to Find the LCM of 207, 105, 414 ?

Least Common Multiple of 207, 105, 414.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(207, 105, 414) = 2 x 3 x 3 x 5 x 7 x 23 = 14490.