Least Common Multiple of 703/23, 577/49, 111/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 703/23, 577/49, 111/913 quickly i.e. 1216893 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 703/23, 577/49, 111/913 is 1216893.

LCM(703/23, 577/49, 111/913) = 1216893

LCM of 703/23, 577/49, 111/913

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 703/23,577/49,111/913

Given numbers are 703/23,577/49,111/913

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 703,577,111

Least Common Multiple of Numerators i.e. LCM of 703,577,111 is 1216893.

GCF of Denominators means GCF of 23,49,913 as per the given fractions.

GCF of 23,49,913 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 703,577,111

LCM of Fractions 703/23,577/49,111/913 is 1216893

37 703, 577, 111
19, 577, 3

∴ So the LCM of the given numbers is 37 x 19 x 577 x 3 = 1216893

Least Common Multiple of 703,577,111 with GCF Formula

Least Common Multiple of 703,577,111 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 703,577,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,577,111) = 1

common factors(in case of two or more numbers have common factors) = 37

GCF(703,577,111) x common factors =1 x 37 = 37

LCM(703,577,111) = ( 703 × 577 × 111 ) / 37

LCM(703,577,111) = 45025041 / 37

LCM(703,577,111) = 1216893


Lets's calculate GCF of 23,49,913

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1216893/1

Therefore the LCM of Fractions 703/23,577/49,111/913 is 1216893

Greatest Common Factor of 23,49,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,49,913 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 23,49,913 . The biggest common factor number is the GCF number.
So the greatest common factor 23,49,913 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 703/23, 577/49, 111/913

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 703/23, 577/49, 111/913?

Answer: LCM of Numerators as per given numbers 703/23, 577/49, 111/913 is

LCM of Numerators i.e. for 703,577,111 is 1216893

GCF of denominators i.e. for 23,49,913 is 1.

Thus, LCM of Fractions is 1216893.Finally, LCM of Fractions for 703/23, 577/49, 111/913 is 1216893.