Least Common Multiple of 3775/985, 3329/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3775/985, 3329/696 quickly i.e. 12566975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3775/985, 3329/696 is 12566975.

LCM(3775/985, 3329/696) = 12566975

LCM of 3775/985, 3329/696

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 3775/985,3329/696

Given numbers are 3775/985,3329/696

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 3775,3329

Least Common Multiple of Numerators i.e. LCM of 3775,3329 is 12566975.

GCF of Denominators means GCF of 985,696 as per the given fractions.

GCF of 985,696 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3775,3329

LCM of Fractions 3775/985,3329/696 is 12566975

Given numbers has no common factors except 1. So, there LCM is their product i.e 12566975

Least Common Multiple of 3775,3329 with GCF Formula

Least Common Multiple of 3775,3329 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 3775,3329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3775,3329) = 1

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

GCF(3775,3329) x common factors =1 x 1 = 1

LCM(3775,3329) = ( 3775 × 3329 ) / 1

LCM(3775,3329) = 12566975 / 1

LCM(3775,3329) = 12566975


Lets's calculate GCF of 985,696

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12566975/1

Therefore the LCM of Fractions 3775/985,3329/696 is 12566975

Greatest Common Factor of 985,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 985,696 By Matching Biggest Common Factor Method

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 985,696 . The biggest common factor number is the GCF number.
So the greatest common factor 985,696 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3775/985, 3329/696

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 3775/985, 3329/696?

Answer: LCM of Numerators as per given numbers 3775/985, 3329/696 is

LCM of Numerators i.e. for 3775,3329 is 12566975

GCF of denominators i.e. for 985,696 is 1.

Thus, LCM of Fractions is 12566975.Finally, LCM of Fractions for 3775/985, 3329/696 is 12566975.