Least Common Multiple of 226/247, 178/342, 608/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 226/247, 178/342, 608/828 quickly i.e. 6114656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 226/247, 178/342, 608/828 is 6114656.

LCM(226/247, 178/342, 608/828) = 6114656

LCM of 226/247, 178/342, 608/828

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 226/247,178/342,608/828

Given numbers are 226/247,178/342,608/828

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 226,178,608

Least Common Multiple of Numerators i.e. LCM of 226,178,608 is 6114656.

GCF of Denominators means GCF of 247,342,828 as per the given fractions.

GCF of 247,342,828 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 226,178,608

LCM of Fractions 226/247,178/342,608/828 is 6114656

2 226, 178, 608
113, 89, 304

∴ So the LCM of the given numbers is 2 x 113 x 89 x 304 = 6114656

Least Common Multiple of 226,178,608 with GCF Formula

Least Common Multiple of 226,178,608 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 226,178,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,178,608) = 2

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

GCF(226,178,608) x common factors =2 x 2 = 4

LCM(226,178,608) = ( 226 × 178 × 608 ) / 4

LCM(226,178,608) = 24458624 / 4

LCM(226,178,608) = 6114656


Lets's calculate GCF of 247,342,828

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6114656/1

Therefore the LCM of Fractions 226/247,178/342,608/828 is 6114656

Greatest Common Factor of 247,342,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 247,342,828 By Matching Biggest Common Factor Method

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 247,342,828 . The biggest common factor number is the GCF number.
So the greatest common factor 247,342,828 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 226/247, 178/342, 608/828

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 226/247, 178/342, 608/828?

Answer: LCM of Numerators as per given numbers 226/247, 178/342, 608/828 is

LCM of Numerators i.e. for 226,178,608 is 6114656

GCF of denominators i.e. for 247,342,828 is 1.

Thus, LCM of Fractions is 6114656.Finally, LCM of Fractions for 226/247, 178/342, 608/828 is 6114656.