Least Common Multiple of 837/32, 188/78, 278/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 837/32, 188/78, 278/224 quickly i.e. 10936242 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 837/32, 188/78, 278/224 is 10936242.

LCM(837/32, 188/78, 278/224) = 10936242

LCM of 837/32, 188/78, 278/224

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 837/32,188/78,278/224

Given numbers are 837/32,188/78,278/224

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 837,188,278

Least Common Multiple of Numerators i.e. LCM of 837,188,278 is 21872484.

GCF of Denominators means GCF of 32,78,224 as per the given fractions.

GCF of 32,78,224 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 837,188,278

LCM of Fractions 837/32,188/78,278/224 is 10936242

2 837, 188, 278
837, 94, 139

∴ So the LCM of the given numbers is 2 x 837 x 94 x 139 = 21872484

Least Common Multiple of 837,188,278 with GCF Formula

Least Common Multiple of 837,188,278 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 837,188,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,188,278) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(837,188,278) x common factors =1 x 2 = 2

LCM(837,188,278) = ( 837 × 188 × 278 ) / 2

LCM(837,188,278) = 43744968 / 2

LCM(837,188,278) = 21872484


Lets's calculate GCF of 32,78,224

2 32, 78, 224
16, 39, 112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21872484/2

Therefore the LCM of Fractions 837/32,188/78,278/224 is 10936242

Greatest Common Factor of 32,78,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,78,224 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

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 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 32,78,224 . The biggest common factor number is the GCF number.
So the greatest common factor 32,78,224 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 837/32, 188/78, 278/224

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 837/32, 188/78, 278/224?

Answer: LCM of Numerators as per given numbers 837/32, 188/78, 278/224 is

LCM of Numerators i.e. for 837,188,278 is 21872484

GCF of denominators i.e. for 32,78,224 is 2.

Thus, LCM of Fractions is 10936242.Finally, LCM of Fractions for 837/32, 188/78, 278/224 is 10936242.