Least Common Multiple of 468/830, 7747/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 468/830, 7747/109 quickly i.e. 3625596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/830, 7747/109 is 3625596.

LCM(468/830, 7747/109) = 3625596

LCM of 468/830, 7747/109

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 468/830,7747/109

Given numbers are 468/830,7747/109

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 468,7747

Least Common Multiple of Numerators i.e. LCM of 468,7747 is 3625596.

GCF of Denominators means GCF of 830,109 as per the given fractions.

GCF of 830,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,7747

LCM of Fractions 468/830,7747/109 is 3625596

Given numbers has no common factors except 1. So, there LCM is their product i.e 3625596

Least Common Multiple of 468,7747 with GCF Formula

Least Common Multiple of 468,7747 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 468,7747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,7747) = 1

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

GCF(468,7747) x common factors =1 x 1 = 1

LCM(468,7747) = ( 468 × 7747 ) / 1

LCM(468,7747) = 3625596 / 1

LCM(468,7747) = 3625596


Lets's calculate GCF of 830,109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3625596/1

Therefore the LCM of Fractions 468/830,7747/109 is 3625596

Greatest Common Factor of 830,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,109 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 830,109 . The biggest common factor number is the GCF number.
So the greatest common factor 830,109 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 468/830, 7747/109

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 468/830, 7747/109?

Answer: LCM of Numerators as per given numbers 468/830, 7747/109 is

LCM of Numerators i.e. for 468,7747 is 3625596

GCF of denominators i.e. for 830,109 is 1.

Thus, LCM of Fractions is 3625596.Finally, LCM of Fractions for 468/830, 7747/109 is 3625596.