Least Common Multiple of 14/748, 1985/6204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/748, 1985/6204 quickly i.e. 27790/44 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/748, 1985/6204 is 27790/44.

LCM(14/748, 1985/6204) = 27790/44

LCM of 14/748, 1985/6204

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 14/748,1985/6204

Given numbers are 14/748,1985/6204

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 14,1985

Least Common Multiple of Numerators i.e. LCM of 14,1985 is 27790.

GCF of Denominators means GCF of 748,6204 as per the given fractions.

GCF of 748,6204 is 44 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,1985

LCM of Fractions 14/748,1985/6204 is 27790/44

Given numbers has no common factors except 1. So, there LCM is their product i.e 27790

Least Common Multiple of 14,1985 with GCF Formula

Least Common Multiple of 14,1985 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 14,1985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,1985) = 1

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

GCF(14,1985) x common factors =1 x 1 = 1

LCM(14,1985) = ( 14 × 1985 ) / 1

LCM(14,1985) = 27790 / 1

LCM(14,1985) = 27790


Lets's calculate GCF of 748,6204

2 748, 6204
2 374, 3102
11 187, 1551
17, 141

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27790/44

Therefore the LCM of Fractions 14/748,1985/6204 is 27790/44

Greatest Common Factor of 748,6204 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,6204 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 6204

List of positive integer factors of 6204 that divides 6204 without a remainder.

1,2,3,4,6,11,12,22,33,44,47,66,94,132,141,188,282,517,564,1034,1551,2068,3102,6204

Greatest Common Factor

We found the factors 748,6204 . The biggest common factor number is the GCF number.
So the greatest common factor 748,6204 is 44.


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 14/748, 1985/6204

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 14/748, 1985/6204?

Answer: LCM of Numerators as per given numbers 14/748, 1985/6204 is

LCM of Numerators i.e. for 14,1985 is 27790

GCF of denominators i.e. for 748,6204 is 44.

Thus, LCM of Fractions is 27790/44.Finally, LCM of Fractions for 14/748, 1985/6204 is 27790/44.