Least Common Multiple of 43/78, 36/64, 41/50, 85/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/78, 36/64, 41/50, 85/350 quickly i.e. 2697390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/78, 36/64, 41/50, 85/350 is 2697390.

LCM(43/78, 36/64, 41/50, 85/350) = 2697390

LCM of 43/78, 36/64, 41/50, 85/350

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 43/78,36/64,41/50,85/350

Given numbers are 43/78,36/64,41/50,85/350

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 43,36,41,85

Least Common Multiple of Numerators i.e. LCM of 43,36,41,85 is 5394780.

GCF of Denominators means GCF of 78,64,50,350 as per the given fractions.

GCF of 78,64,50,350 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,36,41,85

LCM of Fractions 43/78,36/64,41/50,85/350 is 2697390

Given numbers has no common factors except 1. So, there LCM is their product i.e 5394780

Least Common Multiple of 43,36,41,85 with GCF Formula

Least Common Multiple of 43,36,41,85 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 43,36,41,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,36,41,85) = 1

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

GCF(43,36,41,85) x common factors =1 x 1 = 1

LCM(43,36,41,85) = ( 43 × 36 × 41 × 85 ) / 1

LCM(43,36,41,85) = 5394780 / 1

LCM(43,36,41,85) = 5394780


Lets's calculate GCF of 78,64,50,350

2 78, 64, 50, 350
39, 32, 25, 175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5394780/2

Therefore the LCM of Fractions 43/78,36/64,41/50,85/350 is 2697390

Greatest Common Factor of 78,64,50,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,64,50,350 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 78,64,50,350 . The biggest common factor number is the GCF number.
So the greatest common factor 78,64,50,350 is 2.


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 43/78, 36/64, 41/50, 85/350

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 43/78, 36/64, 41/50, 85/350?

Answer: LCM of Numerators as per given numbers 43/78, 36/64, 41/50, 85/350 is

LCM of Numerators i.e. for 43,36,41,85 is 5394780

GCF of denominators i.e. for 78,64,50,350 is 2.

Thus, LCM of Fractions is 2697390.Finally, LCM of Fractions for 43/78, 36/64, 41/50, 85/350 is 2697390.