Least Common Multiple of 969/50, 462/59, 238/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/50, 462/59, 238/548 quickly i.e. 149226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/50, 462/59, 238/548 is 149226.

LCM(969/50, 462/59, 238/548) = 149226

LCM of 969/50, 462/59, 238/548

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 969/50,462/59,238/548

Given numbers are 969/50,462/59,238/548

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 969,462,238

Least Common Multiple of Numerators i.e. LCM of 969,462,238 is 149226.

GCF of Denominators means GCF of 50,59,548 as per the given fractions.

GCF of 50,59,548 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,462,238

LCM of Fractions 969/50,462/59,238/548 is 149226

2 969, 462, 238
3 969, 231, 119
7 323, 77, 119
17 323, 11, 17
19, 11, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 19 x 11 x 1 = 149226

Least Common Multiple of 969,462,238 with GCF Formula

Least Common Multiple of 969,462,238 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 969,462,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,462,238) = 1

common factors(in case of two or more numbers have common factors) = 714

GCF(969,462,238) x common factors =1 x 714 = 714

LCM(969,462,238) = ( 969 × 462 × 238 ) / 714

LCM(969,462,238) = 106547364 / 714

LCM(969,462,238) = 149226


Lets's calculate GCF of 50,59,548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149226/1

Therefore the LCM of Fractions 969/50,462/59,238/548 is 149226

Greatest Common Factor of 50,59,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,59,548 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 50,59,548 . The biggest common factor number is the GCF number.
So the greatest common factor 50,59,548 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 969/50, 462/59, 238/548

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 969/50, 462/59, 238/548?

Answer: LCM of Numerators as per given numbers 969/50, 462/59, 238/548 is

LCM of Numerators i.e. for 969,462,238 is 149226

GCF of denominators i.e. for 50,59,548 is 1.

Thus, LCM of Fractions is 149226.Finally, LCM of Fractions for 969/50, 462/59, 238/548 is 149226.