Least Common Multiple of 187/42, 335/7826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 187/42, 335/7826 quickly i.e. 62645/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 187/42, 335/7826 is 62645/14.

LCM(187/42, 335/7826) = 62645/14

LCM of 187/42, 335/7826

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 187/42,335/7826

Given numbers are 187/42,335/7826

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 187,335

Least Common Multiple of Numerators i.e. LCM of 187,335 is 62645.

GCF of Denominators means GCF of 42,7826 as per the given fractions.

GCF of 42,7826 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 187,335

LCM of Fractions 187/42,335/7826 is 62645/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 62645

Least Common Multiple of 187,335 with GCF Formula

Least Common Multiple of 187,335 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 187,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,335) = 1

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

GCF(187,335) x common factors =1 x 1 = 1

LCM(187,335) = ( 187 × 335 ) / 1

LCM(187,335) = 62645 / 1

LCM(187,335) = 62645


Lets's calculate GCF of 42,7826

2 42, 7826
7 21, 3913
3, 559

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62645/14

Therefore the LCM of Fractions 187/42,335/7826 is 62645/14

Greatest Common Factor of 42,7826 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,7826 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 7826

List of positive integer factors of 7826 that divides 7826 without a remainder.

1,2,7,13,14,26,43,86,91,182,301,559,602,1118,3913,7826

Greatest Common Factor

We found the factors 42,7826 . The biggest common factor number is the GCF number.
So the greatest common factor 42,7826 is 14.


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 187/42, 335/7826

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 187/42, 335/7826?

Answer: LCM of Numerators as per given numbers 187/42, 335/7826 is

LCM of Numerators i.e. for 187,335 is 62645

GCF of denominators i.e. for 42,7826 is 14.

Thus, LCM of Fractions is 62645/14.Finally, LCM of Fractions for 187/42, 335/7826 is 62645/14.