Least Common Multiple of 745/923, 131/483, 349/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 745/923, 131/483, 349/946 quickly i.e. 34060655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 745/923, 131/483, 349/946 is 34060655.

LCM(745/923, 131/483, 349/946) = 34060655

LCM of 745/923, 131/483, 349/946

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 745/923,131/483,349/946

Given numbers are 745/923,131/483,349/946

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 745,131,349

Least Common Multiple of Numerators i.e. LCM of 745,131,349 is 34060655.

GCF of Denominators means GCF of 923,483,946 as per the given fractions.

GCF of 923,483,946 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 745,131,349

LCM of Fractions 745/923,131/483,349/946 is 34060655

Given numbers has no common factors except 1. So, there LCM is their product i.e 34060655

Least Common Multiple of 745,131,349 with GCF Formula

Least Common Multiple of 745,131,349 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 745,131,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,131,349) = 1

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

GCF(745,131,349) x common factors =1 x 1 = 1

LCM(745,131,349) = ( 745 × 131 × 349 ) / 1

LCM(745,131,349) = 34060655 / 1

LCM(745,131,349) = 34060655


Lets's calculate GCF of 923,483,946

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34060655/1

Therefore the LCM of Fractions 745/923,131/483,349/946 is 34060655

Greatest Common Factor of 923,483,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,483,946 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 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 923,483,946 . The biggest common factor number is the GCF number.
So the greatest common factor 923,483,946 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 745/923, 131/483, 349/946

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 745/923, 131/483, 349/946?

Answer: LCM of Numerators as per given numbers 745/923, 131/483, 349/946 is

LCM of Numerators i.e. for 745,131,349 is 34060655

GCF of denominators i.e. for 923,483,946 is 1.

Thus, LCM of Fractions is 34060655.Finally, LCM of Fractions for 745/923, 131/483, 349/946 is 34060655.