Least Common Multiple of 371/684, 355/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 371/684, 355/788 quickly i.e. 131705/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 371/684, 355/788 is 131705/4.

LCM(371/684, 355/788) = 131705/4

LCM of 371/684, 355/788

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 371/684,355/788

Given numbers are 371/684,355/788

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 371,355

Least Common Multiple of Numerators i.e. LCM of 371,355 is 131705.

GCF of Denominators means GCF of 684,788 as per the given fractions.

GCF of 684,788 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 371,355

LCM of Fractions 371/684,355/788 is 131705/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 131705

Least Common Multiple of 371,355 with GCF Formula

Least Common Multiple of 371,355 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 371,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,355) = 1

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

GCF(371,355) x common factors =1 x 1 = 1

LCM(371,355) = ( 371 × 355 ) / 1

LCM(371,355) = 131705 / 1

LCM(371,355) = 131705


Lets's calculate GCF of 684,788

2 684, 788
2 342, 394
171, 197

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131705/4

Therefore the LCM of Fractions 371/684,355/788 is 131705/4

Greatest Common Factor of 684,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,788 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 684,788 . The biggest common factor number is the GCF number.
So the greatest common factor 684,788 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 371/684, 355/788

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 371/684, 355/788?

Answer: LCM of Numerators as per given numbers 371/684, 355/788 is

LCM of Numerators i.e. for 371,355 is 131705

GCF of denominators i.e. for 684,788 is 4.

Thus, LCM of Fractions is 131705/4.Finally, LCM of Fractions for 371/684, 355/788 is 131705/4.