Least Common Multiple of 3494/923, 9983/5951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3494/923, 9983/5951 quickly i.e. 34880602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3494/923, 9983/5951 is 34880602.

LCM(3494/923, 9983/5951) = 34880602

LCM of 3494/923, 9983/5951

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 3494/923,9983/5951

Given numbers are 3494/923,9983/5951

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 3494,9983

Least Common Multiple of Numerators i.e. LCM of 3494,9983 is 34880602.

GCF of Denominators means GCF of 923,5951 as per the given fractions.

GCF of 923,5951 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3494,9983

LCM of Fractions 3494/923,9983/5951 is 34880602

Given numbers has no common factors except 1. So, there LCM is their product i.e 34880602

Least Common Multiple of 3494,9983 with GCF Formula

Least Common Multiple of 3494,9983 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 3494,9983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3494,9983) = 1

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

GCF(3494,9983) x common factors =1 x 1 = 1

LCM(3494,9983) = ( 3494 × 9983 ) / 1

LCM(3494,9983) = 34880602 / 1

LCM(3494,9983) = 34880602


Lets's calculate GCF of 923,5951

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34880602/1

Therefore the LCM of Fractions 3494/923,9983/5951 is 34880602

Greatest Common Factor of 923,5951 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,5951 By Matching Biggest Common Factor Method

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 5951

List of positive integer factors of 5951 that divides 5951 without a remainder.

1,11,541,5951

Greatest Common Factor

We found the factors 923,5951 . The biggest common factor number is the GCF number.
So the greatest common factor 923,5951 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 3494/923, 9983/5951

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 3494/923, 9983/5951?

Answer: LCM of Numerators as per given numbers 3494/923, 9983/5951 is

LCM of Numerators i.e. for 3494,9983 is 34880602

GCF of denominators i.e. for 923,5951 is 1.

Thus, LCM of Fractions is 34880602.Finally, LCM of Fractions for 3494/923, 9983/5951 is 34880602.