Least Common Multiple of 307/828, 398/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 307/828, 398/154 quickly i.e. 61093 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/828, 398/154 is 61093.

LCM(307/828, 398/154) = 61093

LCM of 307/828, 398/154

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 307/828,398/154

Given numbers are 307/828,398/154

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 307,398

Least Common Multiple of Numerators i.e. LCM of 307,398 is 122186.

GCF of Denominators means GCF of 828,154 as per the given fractions.

GCF of 828,154 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,398

LCM of Fractions 307/828,398/154 is 61093

Given numbers has no common factors except 1. So, there LCM is their product i.e 122186

Least Common Multiple of 307,398 with GCF Formula

Least Common Multiple of 307,398 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 307,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,398) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(307,398) x common factors =1 x 1 = 1

LCM(307,398) = ( 307 × 398 ) / 1

LCM(307,398) = 122186 / 1

LCM(307,398) = 122186


Lets's calculate GCF of 828,154

2 828, 154
414, 77

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122186/2

Therefore the LCM of Fractions 307/828,398/154 is 61093

Greatest Common Factor of 828,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,154 By Matching Biggest Common Factor Method

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

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 828,154 . The biggest common factor number is the GCF number.
So the greatest common factor 828,154 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 307/828, 398/154

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 307/828, 398/154?

Answer: LCM of Numerators as per given numbers 307/828, 398/154 is

LCM of Numerators i.e. for 307,398 is 122186

GCF of denominators i.e. for 828,154 is 2.

Thus, LCM of Fractions is 61093.Finally, LCM of Fractions for 307/828, 398/154 is 61093.