Least Common Multiple of 82/748, 231/245, 301/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/748, 231/245, 301/236 quickly i.e. 814506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/748, 231/245, 301/236 is 814506.

LCM(82/748, 231/245, 301/236) = 814506

LCM of 82/748, 231/245, 301/236

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 82/748,231/245,301/236

Given numbers are 82/748,231/245,301/236

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 82,231,301

Least Common Multiple of Numerators i.e. LCM of 82,231,301 is 814506.

GCF of Denominators means GCF of 748,245,236 as per the given fractions.

GCF of 748,245,236 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,231,301

LCM of Fractions 82/748,231/245,301/236 is 814506

7 82, 231, 301
82, 33, 43

∴ So the LCM of the given numbers is 7 x 82 x 33 x 43 = 814506

Least Common Multiple of 82,231,301 with GCF Formula

Least Common Multiple of 82,231,301 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 82,231,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,231,301) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(82,231,301) x common factors =1 x 7 = 7

LCM(82,231,301) = ( 82 × 231 × 301 ) / 7

LCM(82,231,301) = 5701542 / 7

LCM(82,231,301) = 814506


Lets's calculate GCF of 748,245,236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 814506/1

Therefore the LCM of Fractions 82/748,231/245,301/236 is 814506

Greatest Common Factor of 748,245,236 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,245,236 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Greatest Common Factor

We found the factors 748,245,236 . The biggest common factor number is the GCF number.
So the greatest common factor 748,245,236 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 82/748, 231/245, 301/236

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 82/748, 231/245, 301/236?

Answer: LCM of Numerators as per given numbers 82/748, 231/245, 301/236 is

LCM of Numerators i.e. for 82,231,301 is 814506

GCF of denominators i.e. for 748,245,236 is 1.

Thus, LCM of Fractions is 814506.Finally, LCM of Fractions for 82/748, 231/245, 301/236 is 814506.