Least Common Multiple of 92/66, 240/33, 682/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/66, 240/33, 682/684 quickly i.e. 627440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/66, 240/33, 682/684 is 627440.

LCM(92/66, 240/33, 682/684) = 627440

LCM of 92/66, 240/33, 682/684

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 92/66,240/33,682/684

Given numbers are 92/66,240/33,682/684

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 92,240,682

Least Common Multiple of Numerators i.e. LCM of 92,240,682 is 1882320.

GCF of Denominators means GCF of 66,33,684 as per the given fractions.

GCF of 66,33,684 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,240,682

LCM of Fractions 92/66,240/33,682/684 is 627440

2 92, 240, 682
2 46, 120, 341
23, 60, 341

∴ So the LCM of the given numbers is 2 x 2 x 23 x 60 x 341 = 1882320

Least Common Multiple of 92,240,682 with GCF Formula

Least Common Multiple of 92,240,682 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 92,240,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,240,682) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(92,240,682) x common factors =2 x 4 = 8

LCM(92,240,682) = ( 92 × 240 × 682 ) / 8

LCM(92,240,682) = 15058560 / 8

LCM(92,240,682) = 1882320


Lets's calculate GCF of 66,33,684

3 66, 33, 684
22, 11, 228

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1882320/3

Therefore the LCM of Fractions 92/66,240/33,682/684 is 627440

Greatest Common Factor of 66,33,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,33,684 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

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

Greatest Common Factor

We found the factors 66,33,684 . The biggest common factor number is the GCF number.
So the greatest common factor 66,33,684 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 92/66, 240/33, 682/684

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 92/66, 240/33, 682/684?

Answer: LCM of Numerators as per given numbers 92/66, 240/33, 682/684 is

LCM of Numerators i.e. for 92,240,682 is 1882320

GCF of denominators i.e. for 66,33,684 is 3.

Thus, LCM of Fractions is 627440.Finally, LCM of Fractions for 92/66, 240/33, 682/684 is 627440.