Least Common Multiple of 678/308, 3877/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/308, 3877/714 quickly i.e. 2628606/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/308, 3877/714 is 2628606/14.

LCM(678/308, 3877/714) = 2628606/14

LCM of 678/308, 3877/714

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 678/308,3877/714

Given numbers are 678/308,3877/714

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 678,3877

Least Common Multiple of Numerators i.e. LCM of 678,3877 is 2628606.

GCF of Denominators means GCF of 308,714 as per the given fractions.

GCF of 308,714 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,3877

LCM of Fractions 678/308,3877/714 is 2628606/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 2628606

Least Common Multiple of 678,3877 with GCF Formula

Least Common Multiple of 678,3877 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 678,3877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,3877) = 1

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

GCF(678,3877) x common factors =1 x 1 = 1

LCM(678,3877) = ( 678 × 3877 ) / 1

LCM(678,3877) = 2628606 / 1

LCM(678,3877) = 2628606


Lets's calculate GCF of 308,714

2 308, 714
7 154, 357
22, 51

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2628606/14

Therefore the LCM of Fractions 678/308,3877/714 is 2628606/14

Greatest Common Factor of 308,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,714 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 308,714 . The biggest common factor number is the GCF number.
So the greatest common factor 308,714 is 14.


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 678/308, 3877/714

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 678/308, 3877/714?

Answer: LCM of Numerators as per given numbers 678/308, 3877/714 is

LCM of Numerators i.e. for 678,3877 is 2628606

GCF of denominators i.e. for 308,714 is 14.

Thus, LCM of Fractions is 2628606/14.Finally, LCM of Fractions for 678/308, 3877/714 is 2628606/14.