Least Common Multiple of 48/266, 28/377, 133/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/266, 28/377, 133/986 quickly i.e. 6384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/266, 28/377, 133/986 is 6384.

LCM(48/266, 28/377, 133/986) = 6384

LCM of 48/266, 28/377, 133/986

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 48/266,28/377,133/986

Given numbers are 48/266,28/377,133/986

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 48,28,133

Least Common Multiple of Numerators i.e. LCM of 48,28,133 is 6384.

GCF of Denominators means GCF of 266,377,986 as per the given fractions.

GCF of 266,377,986 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,28,133

LCM of Fractions 48/266,28/377,133/986 is 6384

2 48, 28, 133
2 24, 14, 133
7 12, 7, 133
12, 1, 19

∴ So the LCM of the given numbers is 2 x 2 x 7 x 12 x 1 x 19 = 6384

Least Common Multiple of 48,28,133 with GCF Formula

Least Common Multiple of 48,28,133 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 48,28,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,28,133) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(48,28,133) x common factors =1 x 28 = 28

LCM(48,28,133) = ( 48 × 28 × 133 ) / 28

LCM(48,28,133) = 178752 / 28

LCM(48,28,133) = 6384


Lets's calculate GCF of 266,377,986

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6384/1

Therefore the LCM of Fractions 48/266,28/377,133/986 is 6384

Greatest Common Factor of 266,377,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,377,986 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 266,377,986 . The biggest common factor number is the GCF number.
So the greatest common factor 266,377,986 is 1.


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 48/266, 28/377, 133/986

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 48/266, 28/377, 133/986?

Answer: LCM of Numerators as per given numbers 48/266, 28/377, 133/986 is

LCM of Numerators i.e. for 48,28,133 is 6384

GCF of denominators i.e. for 266,377,986 is 1.

Thus, LCM of Fractions is 6384.Finally, LCM of Fractions for 48/266, 28/377, 133/986 is 6384.