Least Common Multiple of 3174/742, 1546/8836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3174/742, 1546/8836 quickly i.e. 1226751 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3174/742, 1546/8836 is 1226751.

LCM(3174/742, 1546/8836) = 1226751

LCM of 3174/742, 1546/8836

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 3174/742,1546/8836

Given numbers are 3174/742,1546/8836

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 3174,1546

Least Common Multiple of Numerators i.e. LCM of 3174,1546 is 2453502.

GCF of Denominators means GCF of 742,8836 as per the given fractions.

GCF of 742,8836 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3174,1546

LCM of Fractions 3174/742,1546/8836 is 1226751

2 3174, 1546
1587, 773

∴ So the LCM of the given numbers is 2 x 1587 x 773 = 2453502

Least Common Multiple of 3174,1546 with GCF Formula

Least Common Multiple of 3174,1546 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 3174,1546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3174,1546) = 2

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

GCF(3174,1546) x common factors =2 x 1 = 2

LCM(3174,1546) = ( 3174 × 1546 ) / 2

LCM(3174,1546) = 4907004 / 2

LCM(3174,1546) = 2453502


Lets's calculate GCF of 742,8836

2 742, 8836
371, 4418

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2453502/2

Therefore the LCM of Fractions 3174/742,1546/8836 is 1226751

Greatest Common Factor of 742,8836 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,8836 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 8836

List of positive integer factors of 8836 that divides 8836 without a remainder.

1,2,4,47,94,188,2209,4418,8836

Greatest Common Factor

We found the factors 742,8836 . The biggest common factor number is the GCF number.
So the greatest common factor 742,8836 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 3174/742, 1546/8836

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 3174/742, 1546/8836?

Answer: LCM of Numerators as per given numbers 3174/742, 1546/8836 is

LCM of Numerators i.e. for 3174,1546 is 2453502

GCF of denominators i.e. for 742,8836 is 2.

Thus, LCM of Fractions is 1226751.Finally, LCM of Fractions for 3174/742, 1546/8836 is 1226751.