Least Common Multiple of 76/838, 53/196, 677/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/838, 53/196, 677/532 quickly i.e. 1363478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/838, 53/196, 677/532 is 1363478.

LCM(76/838, 53/196, 677/532) = 1363478

LCM of 76/838, 53/196, 677/532

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 76/838,53/196,677/532

Given numbers are 76/838,53/196,677/532

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 76,53,677

Least Common Multiple of Numerators i.e. LCM of 76,53,677 is 2726956.

GCF of Denominators means GCF of 838,196,532 as per the given fractions.

GCF of 838,196,532 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,53,677

LCM of Fractions 76/838,53/196,677/532 is 1363478

Given numbers has no common factors except 1. So, there LCM is their product i.e 2726956

Least Common Multiple of 76,53,677 with GCF Formula

Least Common Multiple of 76,53,677 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 76,53,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,53,677) = 1

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

GCF(76,53,677) x common factors =1 x 1 = 1

LCM(76,53,677) = ( 76 × 53 × 677 ) / 1

LCM(76,53,677) = 2726956 / 1

LCM(76,53,677) = 2726956


Lets's calculate GCF of 838,196,532

2 838, 196, 532
419, 98, 266

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2726956/2

Therefore the LCM of Fractions 76/838,53/196,677/532 is 1363478

Greatest Common Factor of 838,196,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,196,532 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 838,196,532 . The biggest common factor number is the GCF number.
So the greatest common factor 838,196,532 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 76/838, 53/196, 677/532

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 76/838, 53/196, 677/532?

Answer: LCM of Numerators as per given numbers 76/838, 53/196, 677/532 is

LCM of Numerators i.e. for 76,53,677 is 2726956

GCF of denominators i.e. for 838,196,532 is 2.

Thus, LCM of Fractions is 1363478.Finally, LCM of Fractions for 76/838, 53/196, 677/532 is 1363478.