Least Common Multiple of 319/88, 427/3696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/88, 427/3696 quickly i.e. 136213/88 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/88, 427/3696 is 136213/88.

LCM(319/88, 427/3696) = 136213/88

LCM of 319/88, 427/3696

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 319/88,427/3696

Given numbers are 319/88,427/3696

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 319,427

Least Common Multiple of Numerators i.e. LCM of 319,427 is 136213.

GCF of Denominators means GCF of 88,3696 as per the given fractions.

GCF of 88,3696 is 88 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,427

LCM of Fractions 319/88,427/3696 is 136213/88

Given numbers has no common factors except 1. So, there LCM is their product i.e 136213

Least Common Multiple of 319,427 with GCF Formula

Least Common Multiple of 319,427 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 319,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,427) = 1

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

GCF(319,427) x common factors =1 x 1 = 1

LCM(319,427) = ( 319 × 427 ) / 1

LCM(319,427) = 136213 / 1

LCM(319,427) = 136213


Lets's calculate GCF of 88,3696

2 88, 3696
2 44, 1848
2 22, 924
11 11, 462
1, 42

∴ So the GCF of the given numbers is 2 x 2 x 2 x 11 = 88

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136213/88

Therefore the LCM of Fractions 319/88,427/3696 is 136213/88

Greatest Common Factor of 88,3696 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,3696 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 3696

List of positive integer factors of 3696 that divides 3696 without a remainder.

1,2,3,4,6,7,8,11,12,14,16,21,22,24,28,33,42,44,48,56,66,77,84,88,112,132,154,168,176,231,264,308,336,462,528,616,924,1232,1848,3696

Greatest Common Factor

We found the factors 88,3696 . The biggest common factor number is the GCF number.
So the greatest common factor 88,3696 is 88.


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 319/88, 427/3696

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 319/88, 427/3696?

Answer: LCM of Numerators as per given numbers 319/88, 427/3696 is

LCM of Numerators i.e. for 319,427 is 136213

GCF of denominators i.e. for 88,3696 is 88.

Thus, LCM of Fractions is 136213/88.Finally, LCM of Fractions for 319/88, 427/3696 is 136213/88.