Least Common Multiple of 8354/357, 3257/2925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8354/357, 3257/2925 quickly i.e. 27208978/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8354/357, 3257/2925 is 27208978/3.

LCM(8354/357, 3257/2925) = 27208978/3

LCM of 8354/357, 3257/2925

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 8354/357,3257/2925

Given numbers are 8354/357,3257/2925

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 8354,3257

Least Common Multiple of Numerators i.e. LCM of 8354,3257 is 27208978.

GCF of Denominators means GCF of 357,2925 as per the given fractions.

GCF of 357,2925 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8354,3257

LCM of Fractions 8354/357,3257/2925 is 27208978/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 27208978

Least Common Multiple of 8354,3257 with GCF Formula

Least Common Multiple of 8354,3257 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 8354,3257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8354,3257) = 1

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

GCF(8354,3257) x common factors =1 x 1 = 1

LCM(8354,3257) = ( 8354 × 3257 ) / 1

LCM(8354,3257) = 27208978 / 1

LCM(8354,3257) = 27208978


Lets's calculate GCF of 357,2925

3 357, 2925
119, 975

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27208978/3

Therefore the LCM of Fractions 8354/357,3257/2925 is 27208978/3

Greatest Common Factor of 357,2925 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,2925 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 2925

List of positive integer factors of 2925 that divides 2925 without a remainder.

1,3,5,9,13,15,25,39,45,65,75,117,195,225,325,585,975,2925

Greatest Common Factor

We found the factors 357,2925 . The biggest common factor number is the GCF number.
So the greatest common factor 357,2925 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8354/357, 3257/2925

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 8354/357, 3257/2925?

Answer: LCM of Numerators as per given numbers 8354/357, 3257/2925 is

LCM of Numerators i.e. for 8354,3257 is 27208978

GCF of denominators i.e. for 357,2925 is 3.

Thus, LCM of Fractions is 27208978/3.Finally, LCM of Fractions for 8354/357, 3257/2925 is 27208978/3.