Least Common Multiple of 883/53, 760/64, 608/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 883/53, 760/64, 608/769 quickly i.e. 2684320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 883/53, 760/64, 608/769 is 2684320.

LCM(883/53, 760/64, 608/769) = 2684320

LCM of 883/53, 760/64, 608/769

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 883/53,760/64,608/769

Given numbers are 883/53,760/64,608/769

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 883,760,608

Least Common Multiple of Numerators i.e. LCM of 883,760,608 is 2684320.

GCF of Denominators means GCF of 53,64,769 as per the given fractions.

GCF of 53,64,769 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 883,760,608

LCM of Fractions 883/53,760/64,608/769 is 2684320

2 883, 760, 608
2 883, 380, 304
2 883, 190, 152
19 883, 95, 76
883, 5, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 883 x 5 x 4 = 2684320

Least Common Multiple of 883,760,608 with GCF Formula

Least Common Multiple of 883,760,608 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 883,760,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(883,760,608) = 1

common factors(in case of two or more numbers have common factors) = 152

GCF(883,760,608) x common factors =1 x 152 = 152

LCM(883,760,608) = ( 883 × 760 × 608 ) / 152

LCM(883,760,608) = 408016640 / 152

LCM(883,760,608) = 2684320


Lets's calculate GCF of 53,64,769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2684320/1

Therefore the LCM of Fractions 883/53,760/64,608/769 is 2684320

Greatest Common Factor of 53,64,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,64,769 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 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 769

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

1,769

Greatest Common Factor

We found the factors 53,64,769 . The biggest common factor number is the GCF number.
So the greatest common factor 53,64,769 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 883/53, 760/64, 608/769

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 883/53, 760/64, 608/769?

Answer: LCM of Numerators as per given numbers 883/53, 760/64, 608/769 is

LCM of Numerators i.e. for 883,760,608 is 2684320

GCF of denominators i.e. for 53,64,769 is 1.

Thus, LCM of Fractions is 2684320.Finally, LCM of Fractions for 883/53, 760/64, 608/769 is 2684320.