Least Common Multiple of 1178/665, 4223/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1178/665, 4223/779 quickly i.e. 261826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1178/665, 4223/779 is 261826.

LCM(1178/665, 4223/779) = 261826

LCM of 1178/665, 4223/779

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 1178/665,4223/779

Given numbers are 1178/665,4223/779

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 1178,4223

Least Common Multiple of Numerators i.e. LCM of 1178,4223 is 4974694.

GCF of Denominators means GCF of 665,779 as per the given fractions.

GCF of 665,779 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1178,4223

LCM of Fractions 1178/665,4223/779 is 261826

Given numbers has no common factors except 1. So, there LCM is their product i.e 4974694

Least Common Multiple of 1178,4223 with GCF Formula

Least Common Multiple of 1178,4223 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 1178,4223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1178,4223) = 1

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

GCF(1178,4223) x common factors =1 x 1 = 1

LCM(1178,4223) = ( 1178 × 4223 ) / 1

LCM(1178,4223) = 4974694 / 1

LCM(1178,4223) = 4974694


Lets's calculate GCF of 665,779

19 665, 779
35, 41

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4974694/19

Therefore the LCM of Fractions 1178/665,4223/779 is 261826

Greatest Common Factor of 665,779 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,779 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors 665,779 . The biggest common factor number is the GCF number.
So the greatest common factor 665,779 is 19.


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Frequently Asked Questions on Fractional LCM of 1178/665, 4223/779

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 1178/665, 4223/779?

Answer: LCM of Numerators as per given numbers 1178/665, 4223/779 is

LCM of Numerators i.e. for 1178,4223 is 4974694

GCF of denominators i.e. for 665,779 is 19.

Thus, LCM of Fractions is 261826.Finally, LCM of Fractions for 1178/665, 4223/779 is 261826.