Least Common Multiple of 55/53, 776/76, 242/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/53, 776/76, 242/922 quickly i.e. 469480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/53, 776/76, 242/922 is 469480.

LCM(55/53, 776/76, 242/922) = 469480

LCM of 55/53, 776/76, 242/922

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 55/53,776/76,242/922

Given numbers are 55/53,776/76,242/922

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 55,776,242

Least Common Multiple of Numerators i.e. LCM of 55,776,242 is 469480.

GCF of Denominators means GCF of 53,76,922 as per the given fractions.

GCF of 53,76,922 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,776,242

LCM of Fractions 55/53,776/76,242/922 is 469480

2 55, 776, 242
11 55, 388, 121
5, 388, 11

∴ So the LCM of the given numbers is 2 x 11 x 5 x 388 x 11 = 469480

Least Common Multiple of 55,776,242 with GCF Formula

Least Common Multiple of 55,776,242 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 55,776,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,776,242) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(55,776,242) x common factors =1 x 22 = 22

LCM(55,776,242) = ( 55 × 776 × 242 ) / 22

LCM(55,776,242) = 10328560 / 22

LCM(55,776,242) = 469480


Lets's calculate GCF of 53,76,922

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 469480/1

Therefore the LCM of Fractions 55/53,776/76,242/922 is 469480

Greatest Common Factor of 53,76,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,76,922 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 53,76,922 . The biggest common factor number is the GCF number.
So the greatest common factor 53,76,922 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/53, 776/76, 242/922

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 55/53, 776/76, 242/922?

Answer: LCM of Numerators as per given numbers 55/53, 776/76, 242/922 is

LCM of Numerators i.e. for 55,776,242 is 469480

GCF of denominators i.e. for 53,76,922 is 1.

Thus, LCM of Fractions is 469480.Finally, LCM of Fractions for 55/53, 776/76, 242/922 is 469480.