Least Common Multiple of 682/126, 4707/1994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 682/126, 4707/1994 quickly i.e. 1605087 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/126, 4707/1994 is 1605087.

LCM(682/126, 4707/1994) = 1605087

LCM of 682/126, 4707/1994

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 682/126,4707/1994

Given numbers are 682/126,4707/1994

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 682,4707

Least Common Multiple of Numerators i.e. LCM of 682,4707 is 3210174.

GCF of Denominators means GCF of 126,1994 as per the given fractions.

GCF of 126,1994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,4707

LCM of Fractions 682/126,4707/1994 is 1605087

Given numbers has no common factors except 1. So, there LCM is their product i.e 3210174

Least Common Multiple of 682,4707 with GCF Formula

Least Common Multiple of 682,4707 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 682,4707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,4707) = 1

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

GCF(682,4707) x common factors =1 x 1 = 1

LCM(682,4707) = ( 682 × 4707 ) / 1

LCM(682,4707) = 3210174 / 1

LCM(682,4707) = 3210174


Lets's calculate GCF of 126,1994

2 126, 1994
63, 997

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3210174/2

Therefore the LCM of Fractions 682/126,4707/1994 is 1605087

Greatest Common Factor of 126,1994 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,1994 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 1994

List of positive integer factors of 1994 that divides 1994 without a remainder.

1,2,997,1994

Greatest Common Factor

We found the factors 126,1994 . The biggest common factor number is the GCF number.
So the greatest common factor 126,1994 is 2.


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 682/126, 4707/1994

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 682/126, 4707/1994?

Answer: LCM of Numerators as per given numbers 682/126, 4707/1994 is

LCM of Numerators i.e. for 682,4707 is 3210174

GCF of denominators i.e. for 126,1994 is 2.

Thus, LCM of Fractions is 1605087.Finally, LCM of Fractions for 682/126, 4707/1994 is 1605087.