Least Common Multiple of 49/736, 46/683, 172/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/736, 46/683, 172/703 quickly i.e. 193844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/736, 46/683, 172/703 is 193844.

LCM(49/736, 46/683, 172/703) = 193844

LCM of 49/736, 46/683, 172/703

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 49/736,46/683,172/703

Given numbers are 49/736,46/683,172/703

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 49,46,172

Least Common Multiple of Numerators i.e. LCM of 49,46,172 is 193844.

GCF of Denominators means GCF of 736,683,703 as per the given fractions.

GCF of 736,683,703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,46,172

LCM of Fractions 49/736,46/683,172/703 is 193844

2 49, 46, 172
49, 23, 86

∴ So the LCM of the given numbers is 2 x 49 x 23 x 86 = 193844

Least Common Multiple of 49,46,172 with GCF Formula

Least Common Multiple of 49,46,172 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 49,46,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,46,172) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(49,46,172) x common factors =1 x 2 = 2

LCM(49,46,172) = ( 49 × 46 × 172 ) / 2

LCM(49,46,172) = 387688 / 2

LCM(49,46,172) = 193844


Lets's calculate GCF of 736,683,703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193844/1

Therefore the LCM of Fractions 49/736,46/683,172/703 is 193844

Greatest Common Factor of 736,683,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,683,703 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 736,683,703 . The biggest common factor number is the GCF number.
So the greatest common factor 736,683,703 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 49/736, 46/683, 172/703

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 49/736, 46/683, 172/703?

Answer: LCM of Numerators as per given numbers 49/736, 46/683, 172/703 is

LCM of Numerators i.e. for 49,46,172 is 193844

GCF of denominators i.e. for 736,683,703 is 1.

Thus, LCM of Fractions is 193844.Finally, LCM of Fractions for 49/736, 46/683, 172/703 is 193844.