Least Common Multiple of 110/74, 319/3561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 110/74, 319/3561 quickly i.e. 3190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 110/74, 319/3561 is 3190.

LCM(110/74, 319/3561) = 3190

LCM of 110/74, 319/3561

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 110/74,319/3561

Given numbers are 110/74,319/3561

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 110,319

Least Common Multiple of Numerators i.e. LCM of 110,319 is 3190.

GCF of Denominators means GCF of 74,3561 as per the given fractions.

GCF of 74,3561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 110,319

LCM of Fractions 110/74,319/3561 is 3190

11 110, 319
10, 29

∴ So the LCM of the given numbers is 11 x 10 x 29 = 3190

Least Common Multiple of 110,319 with GCF Formula

Least Common Multiple of 110,319 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 110,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(110,319) = 11

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

GCF(110,319) x common factors =11 x 1 = 11

LCM(110,319) = ( 110 × 319 ) / 11

LCM(110,319) = 35090 / 11

LCM(110,319) = 3190


Lets's calculate GCF of 74,3561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3190/1

Therefore the LCM of Fractions 110/74,319/3561 is 3190

Greatest Common Factor of 74,3561 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,3561 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 3561

List of positive integer factors of 3561 that divides 3561 without a remainder.

1,3,1187,3561

Greatest Common Factor

We found the factors 74,3561 . The biggest common factor number is the GCF number.
So the greatest common factor 74,3561 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 110/74, 319/3561

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 110/74, 319/3561?

Answer: LCM of Numerators as per given numbers 110/74, 319/3561 is

LCM of Numerators i.e. for 110,319 is 3190

GCF of denominators i.e. for 74,3561 is 1.

Thus, LCM of Fractions is 3190.Finally, LCM of Fractions for 110/74, 319/3561 is 3190.