Least Common Multiple of 53/291, 52/449, 770/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/291, 52/449, 770/458 quickly i.e. 1061060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/291, 52/449, 770/458 is 1061060.

LCM(53/291, 52/449, 770/458) = 1061060

LCM of 53/291, 52/449, 770/458

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 53/291,52/449,770/458

Given numbers are 53/291,52/449,770/458

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 53,52,770

Least Common Multiple of Numerators i.e. LCM of 53,52,770 is 1061060.

GCF of Denominators means GCF of 291,449,458 as per the given fractions.

GCF of 291,449,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,52,770

LCM of Fractions 53/291,52/449,770/458 is 1061060

2 53, 52, 770
53, 26, 385

∴ So the LCM of the given numbers is 2 x 53 x 26 x 385 = 1061060

Least Common Multiple of 53,52,770 with GCF Formula

Least Common Multiple of 53,52,770 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 53,52,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,52,770) = 1

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

GCF(53,52,770) x common factors =1 x 2 = 2

LCM(53,52,770) = ( 53 × 52 × 770 ) / 2

LCM(53,52,770) = 2122120 / 2

LCM(53,52,770) = 1061060


Lets's calculate GCF of 291,449,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1061060/1

Therefore the LCM of Fractions 53/291,52/449,770/458 is 1061060

Greatest Common Factor of 291,449,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,449,458 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 291,449,458 . The biggest common factor number is the GCF number.
So the greatest common factor 291,449,458 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 53/291, 52/449, 770/458

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 53/291, 52/449, 770/458?

Answer: LCM of Numerators as per given numbers 53/291, 52/449, 770/458 is

LCM of Numerators i.e. for 53,52,770 is 1061060

GCF of denominators i.e. for 291,449,458 is 1.

Thus, LCM of Fractions is 1061060.Finally, LCM of Fractions for 53/291, 52/449, 770/458 is 1061060.