Least Common Multiple of 307/665, 802/531, 982/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 307/665, 802/531, 982/743 quickly i.e. 120891074 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/665, 802/531, 982/743 is 120891074.

LCM(307/665, 802/531, 982/743) = 120891074

LCM of 307/665, 802/531, 982/743

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 307/665,802/531,982/743

Given numbers are 307/665,802/531,982/743

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 307,802,982

Least Common Multiple of Numerators i.e. LCM of 307,802,982 is 120891074.

GCF of Denominators means GCF of 665,531,743 as per the given fractions.

GCF of 665,531,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,802,982

LCM of Fractions 307/665,802/531,982/743 is 120891074

2 307, 802, 982
307, 401, 491

∴ So the LCM of the given numbers is 2 x 307 x 401 x 491 = 120891074

Least Common Multiple of 307,802,982 with GCF Formula

Least Common Multiple of 307,802,982 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 307,802,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,802,982) = 1

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

GCF(307,802,982) x common factors =1 x 2 = 2

LCM(307,802,982) = ( 307 × 802 × 982 ) / 2

LCM(307,802,982) = 241782148 / 2

LCM(307,802,982) = 120891074


Lets's calculate GCF of 665,531,743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120891074/1

Therefore the LCM of Fractions 307/665,802/531,982/743 is 120891074

Greatest Common Factor of 665,531,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,531,743 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 665,531,743 . The biggest common factor number is the GCF number.
So the greatest common factor 665,531,743 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 307/665, 802/531, 982/743

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 307/665, 802/531, 982/743?

Answer: LCM of Numerators as per given numbers 307/665, 802/531, 982/743 is

LCM of Numerators i.e. for 307,802,982 is 120891074

GCF of denominators i.e. for 665,531,743 is 1.

Thus, LCM of Fractions is 120891074.Finally, LCM of Fractions for 307/665, 802/531, 982/743 is 120891074.