Least Common Multiple of 237/44, 743/3685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 237/44, 743/3685 quickly i.e. 176091/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 237/44, 743/3685 is 176091/11.

LCM(237/44, 743/3685) = 176091/11

LCM of 237/44, 743/3685

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 237/44,743/3685

Given numbers are 237/44,743/3685

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 237,743

Least Common Multiple of Numerators i.e. LCM of 237,743 is 176091.

GCF of Denominators means GCF of 44,3685 as per the given fractions.

GCF of 44,3685 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 237,743

LCM of Fractions 237/44,743/3685 is 176091/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 176091

Least Common Multiple of 237,743 with GCF Formula

Least Common Multiple of 237,743 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 237,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,743) = 1

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

GCF(237,743) x common factors =1 x 1 = 1

LCM(237,743) = ( 237 × 743 ) / 1

LCM(237,743) = 176091 / 1

LCM(237,743) = 176091


Lets's calculate GCF of 44,3685

11 44, 3685
4, 335

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176091/11

Therefore the LCM of Fractions 237/44,743/3685 is 176091/11

Greatest Common Factor of 44,3685 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,3685 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 3685

List of positive integer factors of 3685 that divides 3685 without a remainder.

1,5,11,55,67,335,737,3685

Greatest Common Factor

We found the factors 44,3685 . The biggest common factor number is the GCF number.
So the greatest common factor 44,3685 is 11.


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Frequently Asked Questions on Fractional LCM of 237/44, 743/3685

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 237/44, 743/3685?

Answer: LCM of Numerators as per given numbers 237/44, 743/3685 is

LCM of Numerators i.e. for 237,743 is 176091

GCF of denominators i.e. for 44,3685 is 11.

Thus, LCM of Fractions is 176091/11.Finally, LCM of Fractions for 237/44, 743/3685 is 176091/11.