Least Common Multiple of 485/916, 128/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 485/916, 128/722 quickly i.e. 31040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 485/916, 128/722 is 31040.

LCM(485/916, 128/722) = 31040

LCM of 485/916, 128/722

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 485/916,128/722

Given numbers are 485/916,128/722

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 485,128

Least Common Multiple of Numerators i.e. LCM of 485,128 is 62080.

GCF of Denominators means GCF of 916,722 as per the given fractions.

GCF of 916,722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 485,128

LCM of Fractions 485/916,128/722 is 31040

Given numbers has no common factors except 1. So, there LCM is their product i.e 62080

Least Common Multiple of 485,128 with GCF Formula

Least Common Multiple of 485,128 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 485,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,128) = 1

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

GCF(485,128) x common factors =1 x 1 = 1

LCM(485,128) = ( 485 × 128 ) / 1

LCM(485,128) = 62080 / 1

LCM(485,128) = 62080


Lets's calculate GCF of 916,722

2 916, 722
458, 361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62080/2

Therefore the LCM of Fractions 485/916,128/722 is 31040

Greatest Common Factor of 916,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,722 By Matching Biggest Common Factor Method

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 916,722 . The biggest common factor number is the GCF number.
So the greatest common factor 916,722 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 485/916, 128/722

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 485/916, 128/722?

Answer: LCM of Numerators as per given numbers 485/916, 128/722 is

LCM of Numerators i.e. for 485,128 is 62080

GCF of denominators i.e. for 916,722 is 2.

Thus, LCM of Fractions is 31040.Finally, LCM of Fractions for 485/916, 128/722 is 31040.