Least Common Multiple of 80/56, 238/50, 345/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/56, 238/50, 345/922 quickly i.e. 328440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/56, 238/50, 345/922 is 328440.

LCM(80/56, 238/50, 345/922) = 328440

LCM of 80/56, 238/50, 345/922

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 80/56,238/50,345/922

Given numbers are 80/56,238/50,345/922

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 80,238,345

Least Common Multiple of Numerators i.e. LCM of 80,238,345 is 656880.

GCF of Denominators means GCF of 56,50,922 as per the given fractions.

GCF of 56,50,922 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,238,345

LCM of Fractions 80/56,238/50,345/922 is 328440

2 80, 238, 345
5 40, 119, 345
8, 119, 69

∴ So the LCM of the given numbers is 2 x 5 x 8 x 119 x 69 = 656880

Least Common Multiple of 80,238,345 with GCF Formula

Least Common Multiple of 80,238,345 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 80,238,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,238,345) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(80,238,345) x common factors =1 x 10 = 10

LCM(80,238,345) = ( 80 × 238 × 345 ) / 10

LCM(80,238,345) = 6568800 / 10

LCM(80,238,345) = 656880


Lets's calculate GCF of 56,50,922

2 56, 50, 922
28, 25, 461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 656880/2

Therefore the LCM of Fractions 80/56,238/50,345/922 is 328440

Greatest Common Factor of 56,50,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,50,922 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 50

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

1,2,5,10,25,50

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 56,50,922 . The biggest common factor number is the GCF number.
So the greatest common factor 56,50,922 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 80/56, 238/50, 345/922

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 80/56, 238/50, 345/922?

Answer: LCM of Numerators as per given numbers 80/56, 238/50, 345/922 is

LCM of Numerators i.e. for 80,238,345 is 656880

GCF of denominators i.e. for 56,50,922 is 2.

Thus, LCM of Fractions is 328440.Finally, LCM of Fractions for 80/56, 238/50, 345/922 is 328440.