Least Common Multiple of 25/97, 16/14, 326/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 25/97, 16/14, 326/632 quickly i.e. 65200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/97, 16/14, 326/632 is 65200.

LCM(25/97, 16/14, 326/632) = 65200

LCM of 25/97, 16/14, 326/632

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 25/97,16/14,326/632

Given numbers are 25/97,16/14,326/632

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 25,16,326

Least Common Multiple of Numerators i.e. LCM of 25,16,326 is 65200.

GCF of Denominators means GCF of 97,14,632 as per the given fractions.

GCF of 97,14,632 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,16,326

LCM of Fractions 25/97,16/14,326/632 is 65200

2 25, 16, 326
25, 8, 163

∴ So the LCM of the given numbers is 2 x 25 x 8 x 163 = 65200

Least Common Multiple of 25,16,326 with GCF Formula

Least Common Multiple of 25,16,326 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 25,16,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,16,326) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(25,16,326) x common factors =1 x 2 = 2

LCM(25,16,326) = ( 25 × 16 × 326 ) / 2

LCM(25,16,326) = 130400 / 2

LCM(25,16,326) = 65200


Lets's calculate GCF of 97,14,632

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65200/1

Therefore the LCM of Fractions 25/97,16/14,326/632 is 65200

Greatest Common Factor of 97,14,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,14,632 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 97,14,632 . The biggest common factor number is the GCF number.
So the greatest common factor 97,14,632 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 25/97, 16/14, 326/632

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 25/97, 16/14, 326/632?

Answer: LCM of Numerators as per given numbers 25/97, 16/14, 326/632 is

LCM of Numerators i.e. for 25,16,326 is 65200

GCF of denominators i.e. for 97,14,632 is 1.

Thus, LCM of Fractions is 65200.Finally, LCM of Fractions for 25/97, 16/14, 326/632 is 65200.