Least Common Multiple of 367/643, 197/785, 687/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 367/643, 197/785, 687/185 quickly i.e. 49669413 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 367/643, 197/785, 687/185 is 49669413.

LCM(367/643, 197/785, 687/185) = 49669413

LCM of 367/643, 197/785, 687/185

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 367/643,197/785,687/185

Given numbers are 367/643,197/785,687/185

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 367,197,687

Least Common Multiple of Numerators i.e. LCM of 367,197,687 is 49669413.

GCF of Denominators means GCF of 643,785,185 as per the given fractions.

GCF of 643,785,185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 367,197,687

LCM of Fractions 367/643,197/785,687/185 is 49669413

Given numbers has no common factors except 1. So, there LCM is their product i.e 49669413

Least Common Multiple of 367,197,687 with GCF Formula

Least Common Multiple of 367,197,687 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 367,197,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,197,687) = 1

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

GCF(367,197,687) x common factors =1 x 1 = 1

LCM(367,197,687) = ( 367 × 197 × 687 ) / 1

LCM(367,197,687) = 49669413 / 1

LCM(367,197,687) = 49669413


Lets's calculate GCF of 643,785,185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49669413/1

Therefore the LCM of Fractions 367/643,197/785,687/185 is 49669413

Greatest Common Factor of 643,785,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,785,185 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 643,785,185 . The biggest common factor number is the GCF number.
So the greatest common factor 643,785,185 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 367/643, 197/785, 687/185

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 367/643, 197/785, 687/185?

Answer: LCM of Numerators as per given numbers 367/643, 197/785, 687/185 is

LCM of Numerators i.e. for 367,197,687 is 49669413

GCF of denominators i.e. for 643,785,185 is 1.

Thus, LCM of Fractions is 49669413.Finally, LCM of Fractions for 367/643, 197/785, 687/185 is 49669413.