Least Common Multiple of 32/10, 49/672, 588/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/10, 49/672, 588/677 quickly i.e. 4704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/10, 49/672, 588/677 is 4704.

LCM(32/10, 49/672, 588/677) = 4704

LCM of 32/10, 49/672, 588/677

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 32/10,49/672,588/677

Given numbers are 32/10,49/672,588/677

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 32,49,588

Least Common Multiple of Numerators i.e. LCM of 32,49,588 is 4704.

GCF of Denominators means GCF of 10,672,677 as per the given fractions.

GCF of 10,672,677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,49,588

LCM of Fractions 32/10,49/672,588/677 is 4704

2 32, 49, 588
2 16, 49, 294
7 8, 49, 147
7 8, 7, 21
8, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 7 x 7 x 8 x 1 x 3 = 4704

Least Common Multiple of 32,49,588 with GCF Formula

Least Common Multiple of 32,49,588 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 32,49,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,49,588) = 1

common factors(in case of two or more numbers have common factors) = 196

GCF(32,49,588) x common factors =1 x 196 = 196

LCM(32,49,588) = ( 32 × 49 × 588 ) / 196

LCM(32,49,588) = 921984 / 196

LCM(32,49,588) = 4704


Lets's calculate GCF of 10,672,677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4704/1

Therefore the LCM of Fractions 32/10,49/672,588/677 is 4704

Greatest Common Factor of 10,672,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,672,677 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 10,672,677 . The biggest common factor number is the GCF number.
So the greatest common factor 10,672,677 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 32/10, 49/672, 588/677

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 32/10, 49/672, 588/677?

Answer: LCM of Numerators as per given numbers 32/10, 49/672, 588/677 is

LCM of Numerators i.e. for 32,49,588 is 4704

GCF of denominators i.e. for 10,672,677 is 1.

Thus, LCM of Fractions is 4704.Finally, LCM of Fractions for 32/10, 49/672, 588/677 is 4704.