Least Common Multiple of 76/549, 35/769, 734/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/549, 35/769, 734/814 quickly i.e. 976220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/549, 35/769, 734/814 is 976220.

LCM(76/549, 35/769, 734/814) = 976220

LCM of 76/549, 35/769, 734/814

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 76/549,35/769,734/814

Given numbers are 76/549,35/769,734/814

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 76,35,734

Least Common Multiple of Numerators i.e. LCM of 76,35,734 is 976220.

GCF of Denominators means GCF of 549,769,814 as per the given fractions.

GCF of 549,769,814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,35,734

LCM of Fractions 76/549,35/769,734/814 is 976220

2 76, 35, 734
38, 35, 367

∴ So the LCM of the given numbers is 2 x 38 x 35 x 367 = 976220

Least Common Multiple of 76,35,734 with GCF Formula

Least Common Multiple of 76,35,734 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 76,35,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,35,734) = 1

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

GCF(76,35,734) x common factors =1 x 2 = 2

LCM(76,35,734) = ( 76 × 35 × 734 ) / 2

LCM(76,35,734) = 1952440 / 2

LCM(76,35,734) = 976220


Lets's calculate GCF of 549,769,814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 976220/1

Therefore the LCM of Fractions 76/549,35/769,734/814 is 976220

Greatest Common Factor of 549,769,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,769,814 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 549,769,814 . The biggest common factor number is the GCF number.
So the greatest common factor 549,769,814 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 76/549, 35/769, 734/814

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 76/549, 35/769, 734/814?

Answer: LCM of Numerators as per given numbers 76/549, 35/769, 734/814 is

LCM of Numerators i.e. for 76,35,734 is 976220

GCF of denominators i.e. for 549,769,814 is 1.

Thus, LCM of Fractions is 976220.Finally, LCM of Fractions for 76/549, 35/769, 734/814 is 976220.