Least Common Multiple of 55/419, 48/286, 770/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/419, 48/286, 770/523 quickly i.e. 18480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/419, 48/286, 770/523 is 18480.

LCM(55/419, 48/286, 770/523) = 18480

LCM of 55/419, 48/286, 770/523

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 55/419,48/286,770/523

Given numbers are 55/419,48/286,770/523

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 55,48,770

Least Common Multiple of Numerators i.e. LCM of 55,48,770 is 18480.

GCF of Denominators means GCF of 419,286,523 as per the given fractions.

GCF of 419,286,523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,48,770

LCM of Fractions 55/419,48/286,770/523 is 18480

2 55, 48, 770
5 55, 24, 385
11 11, 24, 77
1, 24, 7

∴ So the LCM of the given numbers is 2 x 5 x 11 x 1 x 24 x 7 = 18480

Least Common Multiple of 55,48,770 with GCF Formula

Least Common Multiple of 55,48,770 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 55,48,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,48,770) = 1

common factors(in case of two or more numbers have common factors) = 110

GCF(55,48,770) x common factors =1 x 110 = 110

LCM(55,48,770) = ( 55 × 48 × 770 ) / 110

LCM(55,48,770) = 2032800 / 110

LCM(55,48,770) = 18480


Lets's calculate GCF of 419,286,523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18480/1

Therefore the LCM of Fractions 55/419,48/286,770/523 is 18480

Greatest Common Factor of 419,286,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 419,286,523 By Matching Biggest Common Factor Method

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 419,286,523 . The biggest common factor number is the GCF number.
So the greatest common factor 419,286,523 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 55/419, 48/286, 770/523

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 55/419, 48/286, 770/523?

Answer: LCM of Numerators as per given numbers 55/419, 48/286, 770/523 is

LCM of Numerators i.e. for 55,48,770 is 18480

GCF of denominators i.e. for 419,286,523 is 1.

Thus, LCM of Fractions is 18480.Finally, LCM of Fractions for 55/419, 48/286, 770/523 is 18480.