Least Common Multiple of 867/25, 755/51, 983/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 867/25, 755/51, 983/614 quickly i.e. 643457055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 867/25, 755/51, 983/614 is 643457055.

LCM(867/25, 755/51, 983/614) = 643457055

LCM of 867/25, 755/51, 983/614

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 867/25,755/51,983/614

Given numbers are 867/25,755/51,983/614

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 867,755,983

Least Common Multiple of Numerators i.e. LCM of 867,755,983 is 643457055.

GCF of Denominators means GCF of 25,51,614 as per the given fractions.

GCF of 25,51,614 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 867,755,983

LCM of Fractions 867/25,755/51,983/614 is 643457055

Given numbers has no common factors except 1. So, there LCM is their product i.e 643457055

Least Common Multiple of 867,755,983 with GCF Formula

Least Common Multiple of 867,755,983 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 867,755,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,755,983) = 1

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

GCF(867,755,983) x common factors =1 x 1 = 1

LCM(867,755,983) = ( 867 × 755 × 983 ) / 1

LCM(867,755,983) = 643457055 / 1

LCM(867,755,983) = 643457055


Lets's calculate GCF of 25,51,614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 643457055/1

Therefore the LCM of Fractions 867/25,755/51,983/614 is 643457055

Greatest Common Factor of 25,51,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,51,614 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 25,51,614 . The biggest common factor number is the GCF number.
So the greatest common factor 25,51,614 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 867/25, 755/51, 983/614

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 867/25, 755/51, 983/614?

Answer: LCM of Numerators as per given numbers 867/25, 755/51, 983/614 is

LCM of Numerators i.e. for 867,755,983 is 643457055

GCF of denominators i.e. for 25,51,614 is 1.

Thus, LCM of Fractions is 643457055.Finally, LCM of Fractions for 867/25, 755/51, 983/614 is 643457055.