Least Common Multiple of 561/40, 838/7354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 561/40, 838/7354 quickly i.e. 235059 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 561/40, 838/7354 is 235059.

LCM(561/40, 838/7354) = 235059

LCM of 561/40, 838/7354

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 561/40,838/7354

Given numbers are 561/40,838/7354

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 561,838

Least Common Multiple of Numerators i.e. LCM of 561,838 is 470118.

GCF of Denominators means GCF of 40,7354 as per the given fractions.

GCF of 40,7354 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 561,838

LCM of Fractions 561/40,838/7354 is 235059

Given numbers has no common factors except 1. So, there LCM is their product i.e 470118

Least Common Multiple of 561,838 with GCF Formula

Least Common Multiple of 561,838 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 561,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,838) = 1

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

GCF(561,838) x common factors =1 x 1 = 1

LCM(561,838) = ( 561 × 838 ) / 1

LCM(561,838) = 470118 / 1

LCM(561,838) = 470118


Lets's calculate GCF of 40,7354

2 40, 7354
20, 3677

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 470118/2

Therefore the LCM of Fractions 561/40,838/7354 is 235059

Greatest Common Factor of 40,7354 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,7354 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 7354

List of positive integer factors of 7354 that divides 7354 without a remainder.

1,2,3677,7354

Greatest Common Factor

We found the factors 40,7354 . The biggest common factor number is the GCF number.
So the greatest common factor 40,7354 is 2.


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 561/40, 838/7354

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 561/40, 838/7354?

Answer: LCM of Numerators as per given numbers 561/40, 838/7354 is

LCM of Numerators i.e. for 561,838 is 470118

GCF of denominators i.e. for 40,7354 is 2.

Thus, LCM of Fractions is 235059.Finally, LCM of Fractions for 561/40, 838/7354 is 235059.