Least Common Multiple of 823/916, 3019/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 823/916, 3019/949 quickly i.e. 2484637 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 823/916, 3019/949 is 2484637.

LCM(823/916, 3019/949) = 2484637

LCM of 823/916, 3019/949

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 823/916,3019/949

Given numbers are 823/916,3019/949

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 823,3019

Least Common Multiple of Numerators i.e. LCM of 823,3019 is 2484637.

GCF of Denominators means GCF of 916,949 as per the given fractions.

GCF of 916,949 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 823,3019

LCM of Fractions 823/916,3019/949 is 2484637

Given numbers has no common factors except 1. So, there LCM is their product i.e 2484637

Least Common Multiple of 823,3019 with GCF Formula

Least Common Multiple of 823,3019 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 823,3019 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,3019) = 1

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

GCF(823,3019) x common factors =1 x 1 = 1

LCM(823,3019) = ( 823 × 3019 ) / 1

LCM(823,3019) = 2484637 / 1

LCM(823,3019) = 2484637


Lets's calculate GCF of 916,949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2484637/1

Therefore the LCM of Fractions 823/916,3019/949 is 2484637

Greatest Common Factor of 916,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,949 By Matching Biggest Common Factor Method

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 916,949 . The biggest common factor number is the GCF number.
So the greatest common factor 916,949 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 823/916, 3019/949

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 823/916, 3019/949?

Answer: LCM of Numerators as per given numbers 823/916, 3019/949 is

LCM of Numerators i.e. for 823,3019 is 2484637

GCF of denominators i.e. for 916,949 is 1.

Thus, LCM of Fractions is 2484637.Finally, LCM of Fractions for 823/916, 3019/949 is 2484637.