Least Common Multiple of 698/21, 754/45, 773/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 698/21, 754/45, 773/48 quickly i.e. 203411858/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 698/21, 754/45, 773/48 is 203411858/3.

LCM(698/21, 754/45, 773/48) = 203411858/3

LCM of 698/21, 754/45, 773/48

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 698/21,754/45,773/48

Given numbers are 698/21,754/45,773/48

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 698,754,773

Least Common Multiple of Numerators i.e. LCM of 698,754,773 is 203411858.

GCF of Denominators means GCF of 21,45,48 as per the given fractions.

GCF of 21,45,48 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 698,754,773

LCM of Fractions 698/21,754/45,773/48 is 203411858/3

2 698, 754, 773
349, 377, 773

∴ So the LCM of the given numbers is 2 x 349 x 377 x 773 = 203411858

Least Common Multiple of 698,754,773 with GCF Formula

Least Common Multiple of 698,754,773 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 698,754,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,754,773) = 1

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

GCF(698,754,773) x common factors =1 x 2 = 2

LCM(698,754,773) = ( 698 × 754 × 773 ) / 2

LCM(698,754,773) = 406823716 / 2

LCM(698,754,773) = 203411858


Lets's calculate GCF of 21,45,48

3 21, 45, 48
7, 15, 16

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203411858/3

Therefore the LCM of Fractions 698/21,754/45,773/48 is 203411858/3

Greatest Common Factor of 21,45,48 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,45,48 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Greatest Common Factor

We found the factors 21,45,48 . The biggest common factor number is the GCF number.
So the greatest common factor 21,45,48 is 3.


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 698/21, 754/45, 773/48

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 698/21, 754/45, 773/48?

Answer: LCM of Numerators as per given numbers 698/21, 754/45, 773/48 is

LCM of Numerators i.e. for 698,754,773 is 203411858

GCF of denominators i.e. for 21,45,48 is 3.

Thus, LCM of Fractions is 203411858/3.Finally, LCM of Fractions for 698/21, 754/45, 773/48 is 203411858/3.