Least Common Multiple of 45/917, 703/818, 992/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/917, 703/818, 992/747 quickly i.e. 31381920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/917, 703/818, 992/747 is 31381920.

LCM(45/917, 703/818, 992/747) = 31381920

LCM of 45/917, 703/818, 992/747

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 45/917,703/818,992/747

Given numbers are 45/917,703/818,992/747

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 45,703,992

Least Common Multiple of Numerators i.e. LCM of 45,703,992 is 31381920.

GCF of Denominators means GCF of 917,818,747 as per the given fractions.

GCF of 917,818,747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,703,992

LCM of Fractions 45/917,703/818,992/747 is 31381920

Given numbers has no common factors except 1. So, there LCM is their product i.e 31381920

Least Common Multiple of 45,703,992 with GCF Formula

Least Common Multiple of 45,703,992 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 45,703,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,703,992) = 1

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

GCF(45,703,992) x common factors =1 x 1 = 1

LCM(45,703,992) = ( 45 × 703 × 992 ) / 1

LCM(45,703,992) = 31381920 / 1

LCM(45,703,992) = 31381920


Lets's calculate GCF of 917,818,747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31381920/1

Therefore the LCM of Fractions 45/917,703/818,992/747 is 31381920

Greatest Common Factor of 917,818,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,818,747 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 917,818,747 . The biggest common factor number is the GCF number.
So the greatest common factor 917,818,747 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 45/917, 703/818, 992/747

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 45/917, 703/818, 992/747?

Answer: LCM of Numerators as per given numbers 45/917, 703/818, 992/747 is

LCM of Numerators i.e. for 45,703,992 is 31381920

GCF of denominators i.e. for 917,818,747 is 1.

Thus, LCM of Fractions is 31381920.Finally, LCM of Fractions for 45/917, 703/818, 992/747 is 31381920.