Least Common Multiple of 1991/470, 3692/9774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1991/470, 3692/9774 quickly i.e. 3675386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1991/470, 3692/9774 is 3675386.

LCM(1991/470, 3692/9774) = 3675386

LCM of 1991/470, 3692/9774

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 1991/470,3692/9774

Given numbers are 1991/470,3692/9774

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 1991,3692

Least Common Multiple of Numerators i.e. LCM of 1991,3692 is 7350772.

GCF of Denominators means GCF of 470,9774 as per the given fractions.

GCF of 470,9774 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1991,3692

LCM of Fractions 1991/470,3692/9774 is 3675386

Given numbers has no common factors except 1. So, there LCM is their product i.e 7350772

Least Common Multiple of 1991,3692 with GCF Formula

Least Common Multiple of 1991,3692 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 1991,3692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1991,3692) = 1

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

GCF(1991,3692) x common factors =1 x 1 = 1

LCM(1991,3692) = ( 1991 × 3692 ) / 1

LCM(1991,3692) = 7350772 / 1

LCM(1991,3692) = 7350772


Lets's calculate GCF of 470,9774

2 470, 9774
235, 4887

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7350772/2

Therefore the LCM of Fractions 1991/470,3692/9774 is 3675386

Greatest Common Factor of 470,9774 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,9774 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 9774

List of positive integer factors of 9774 that divides 9774 without a remainder.

1,2,3,6,9,18,27,54,181,362,543,1086,1629,3258,4887,9774

Greatest Common Factor

We found the factors 470,9774 . The biggest common factor number is the GCF number.
So the greatest common factor 470,9774 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 1991/470, 3692/9774

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 1991/470, 3692/9774?

Answer: LCM of Numerators as per given numbers 1991/470, 3692/9774 is

LCM of Numerators i.e. for 1991,3692 is 7350772

GCF of denominators i.e. for 470,9774 is 2.

Thus, LCM of Fractions is 3675386.Finally, LCM of Fractions for 1991/470, 3692/9774 is 3675386.