Least Common Multiple of 25/970, 4369/3438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 25/970, 4369/3438 quickly i.e. 109225/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/970, 4369/3438 is 109225/2.

LCM(25/970, 4369/3438) = 109225/2

LCM of 25/970, 4369/3438

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 25/970,4369/3438

Given numbers are 25/970,4369/3438

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 25,4369

Least Common Multiple of Numerators i.e. LCM of 25,4369 is 109225.

GCF of Denominators means GCF of 970,3438 as per the given fractions.

GCF of 970,3438 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,4369

LCM of Fractions 25/970,4369/3438 is 109225/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 109225

Least Common Multiple of 25,4369 with GCF Formula

Least Common Multiple of 25,4369 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 25,4369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,4369) = 1

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

GCF(25,4369) x common factors =1 x 1 = 1

LCM(25,4369) = ( 25 × 4369 ) / 1

LCM(25,4369) = 109225 / 1

LCM(25,4369) = 109225


Lets's calculate GCF of 970,3438

2 970, 3438
485, 1719

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109225/2

Therefore the LCM of Fractions 25/970,4369/3438 is 109225/2

Greatest Common Factor of 970,3438 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,3438 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 3438

List of positive integer factors of 3438 that divides 3438 without a remainder.

1,2,3,6,9,18,191,382,573,1146,1719,3438

Greatest Common Factor

We found the factors 970,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 970,3438 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 25/970, 4369/3438

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 25/970, 4369/3438?

Answer: LCM of Numerators as per given numbers 25/970, 4369/3438 is

LCM of Numerators i.e. for 25,4369 is 109225

GCF of denominators i.e. for 970,3438 is 2.

Thus, LCM of Fractions is 109225/2.Finally, LCM of Fractions for 25/970, 4369/3438 is 109225/2.