Least Common Multiple of 677/772, 622/392, 314/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 677/772, 622/392, 314/203 quickly i.e. 66111758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 677/772, 622/392, 314/203 is 66111758.

LCM(677/772, 622/392, 314/203) = 66111758

LCM of 677/772, 622/392, 314/203

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 677/772,622/392,314/203

Given numbers are 677/772,622/392,314/203

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 677,622,314

Least Common Multiple of Numerators i.e. LCM of 677,622,314 is 66111758.

GCF of Denominators means GCF of 772,392,203 as per the given fractions.

GCF of 772,392,203 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 677,622,314

LCM of Fractions 677/772,622/392,314/203 is 66111758

2 677, 622, 314
677, 311, 157

∴ So the LCM of the given numbers is 2 x 677 x 311 x 157 = 66111758

Least Common Multiple of 677,622,314 with GCF Formula

Least Common Multiple of 677,622,314 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 677,622,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,622,314) = 1

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

GCF(677,622,314) x common factors =1 x 2 = 2

LCM(677,622,314) = ( 677 × 622 × 314 ) / 2

LCM(677,622,314) = 132223516 / 2

LCM(677,622,314) = 66111758


Lets's calculate GCF of 772,392,203

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66111758/1

Therefore the LCM of Fractions 677/772,622/392,314/203 is 66111758

Greatest Common Factor of 772,392,203 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,392,203 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Greatest Common Factor

We found the factors 772,392,203 . The biggest common factor number is the GCF number.
So the greatest common factor 772,392,203 is 1.


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 677/772, 622/392, 314/203

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 677/772, 622/392, 314/203?

Answer: LCM of Numerators as per given numbers 677/772, 622/392, 314/203 is

LCM of Numerators i.e. for 677,622,314 is 66111758

GCF of denominators i.e. for 772,392,203 is 1.

Thus, LCM of Fractions is 66111758.Finally, LCM of Fractions for 677/772, 622/392, 314/203 is 66111758.