Least Common Multiple of 7874/387, 1966/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7874/387, 1966/688 quickly i.e. 7740142/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7874/387, 1966/688 is 7740142/43.

LCM(7874/387, 1966/688) = 7740142/43

LCM of 7874/387, 1966/688

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 7874/387,1966/688

Given numbers are 7874/387,1966/688

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 7874,1966

Least Common Multiple of Numerators i.e. LCM of 7874,1966 is 7740142.

GCF of Denominators means GCF of 387,688 as per the given fractions.

GCF of 387,688 is 43 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7874,1966

LCM of Fractions 7874/387,1966/688 is 7740142/43

2 7874, 1966
3937, 983

∴ So the LCM of the given numbers is 2 x 3937 x 983 = 7740142

Least Common Multiple of 7874,1966 with GCF Formula

Least Common Multiple of 7874,1966 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 7874,1966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7874,1966) = 2

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

GCF(7874,1966) x common factors =2 x 1 = 2

LCM(7874,1966) = ( 7874 × 1966 ) / 2

LCM(7874,1966) = 15480284 / 2

LCM(7874,1966) = 7740142


Lets's calculate GCF of 387,688

43 387, 688
9, 16

∴ So the GCF of the given numbers is 43 = 43

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7740142/43

Therefore the LCM of Fractions 7874/387,1966/688 is 7740142/43

Greatest Common Factor of 387,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,688 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 387,688 . The biggest common factor number is the GCF number.
So the greatest common factor 387,688 is 43.


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 7874/387, 1966/688

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 7874/387, 1966/688?

Answer: LCM of Numerators as per given numbers 7874/387, 1966/688 is

LCM of Numerators i.e. for 7874,1966 is 7740142

GCF of denominators i.e. for 387,688 is 43.

Thus, LCM of Fractions is 7740142/43.Finally, LCM of Fractions for 7874/387, 1966/688 is 7740142/43.