Least Common Multiple of 7342/174, 5203/9280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7342/174, 5203/9280 quickly i.e. 38200426/58 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7342/174, 5203/9280 is 38200426/58.

LCM(7342/174, 5203/9280) = 38200426/58

LCM of 7342/174, 5203/9280

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 7342/174,5203/9280

Given numbers are 7342/174,5203/9280

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 7342,5203

Least Common Multiple of Numerators i.e. LCM of 7342,5203 is 38200426.

GCF of Denominators means GCF of 174,9280 as per the given fractions.

GCF of 174,9280 is 58 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7342,5203

LCM of Fractions 7342/174,5203/9280 is 38200426/58

Given numbers has no common factors except 1. So, there LCM is their product i.e 38200426

Least Common Multiple of 7342,5203 with GCF Formula

Least Common Multiple of 7342,5203 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 7342,5203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7342,5203) = 1

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

GCF(7342,5203) x common factors =1 x 1 = 1

LCM(7342,5203) = ( 7342 × 5203 ) / 1

LCM(7342,5203) = 38200426 / 1

LCM(7342,5203) = 38200426


Lets's calculate GCF of 174,9280

2 174, 9280
29 87, 4640
3, 160

∴ So the GCF of the given numbers is 2 x 29 = 58

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38200426/58

Therefore the LCM of Fractions 7342/174,5203/9280 is 38200426/58

Greatest Common Factor of 174,9280 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,9280 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 9280

List of positive integer factors of 9280 that divides 9280 without a remainder.

1,2,4,5,8,10,16,20,29,32,40,58,64,80,116,145,160,232,290,320,464,580,928,1160,1856,2320,4640,9280

Greatest Common Factor

We found the factors 174,9280 . The biggest common factor number is the GCF number.
So the greatest common factor 174,9280 is 58.


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 7342/174, 5203/9280

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 7342/174, 5203/9280?

Answer: LCM of Numerators as per given numbers 7342/174, 5203/9280 is

LCM of Numerators i.e. for 7342,5203 is 38200426

GCF of denominators i.e. for 174,9280 is 58.

Thus, LCM of Fractions is 38200426/58.Finally, LCM of Fractions for 7342/174, 5203/9280 is 38200426/58.