Least Common Multiple of 48/428, 14/798, 871/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/428, 14/798, 871/316 quickly i.e. 146328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/428, 14/798, 871/316 is 146328.

LCM(48/428, 14/798, 871/316) = 146328

LCM of 48/428, 14/798, 871/316

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 48/428,14/798,871/316

Given numbers are 48/428,14/798,871/316

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 48,14,871

Least Common Multiple of Numerators i.e. LCM of 48,14,871 is 292656.

GCF of Denominators means GCF of 428,798,316 as per the given fractions.

GCF of 428,798,316 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,14,871

LCM of Fractions 48/428,14/798,871/316 is 146328

2 48, 14, 871
24, 7, 871

∴ So the LCM of the given numbers is 2 x 24 x 7 x 871 = 292656

Least Common Multiple of 48,14,871 with GCF Formula

Least Common Multiple of 48,14,871 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 48,14,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,14,871) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(48,14,871) x common factors =1 x 2 = 2

LCM(48,14,871) = ( 48 × 14 × 871 ) / 2

LCM(48,14,871) = 585312 / 2

LCM(48,14,871) = 292656


Lets's calculate GCF of 428,798,316

2 428, 798, 316
214, 399, 158

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292656/2

Therefore the LCM of Fractions 48/428,14/798,871/316 is 146328

Greatest Common Factor of 428,798,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,798,316 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors 428,798,316 . The biggest common factor number is the GCF number.
So the greatest common factor 428,798,316 is 2.


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 48/428, 14/798, 871/316

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 48/428, 14/798, 871/316?

Answer: LCM of Numerators as per given numbers 48/428, 14/798, 871/316 is

LCM of Numerators i.e. for 48,14,871 is 292656

GCF of denominators i.e. for 428,798,316 is 2.

Thus, LCM of Fractions is 146328.Finally, LCM of Fractions for 48/428, 14/798, 871/316 is 146328.