Least Common Multiple of 53/602, 29/175, 675/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 53/602, 29/175, 675/677 quickly i.e. 1037475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/602, 29/175, 675/677 is 1037475.

LCM(53/602, 29/175, 675/677) = 1037475

LCM of 53/602, 29/175, 675/677

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 53/602,29/175,675/677

Given numbers are 53/602,29/175,675/677

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 53,29,675

Least Common Multiple of Numerators i.e. LCM of 53,29,675 is 1037475.

GCF of Denominators means GCF of 602,175,677 as per the given fractions.

GCF of 602,175,677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,29,675

LCM of Fractions 53/602,29/175,675/677 is 1037475

Given numbers has no common factors except 1. So, there LCM is their product i.e 1037475

Least Common Multiple of 53,29,675 with GCF Formula

Least Common Multiple of 53,29,675 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 53,29,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,29,675) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(53,29,675) x common factors =1 x 1 = 1

LCM(53,29,675) = ( 53 × 29 × 675 ) / 1

LCM(53,29,675) = 1037475 / 1

LCM(53,29,675) = 1037475


Lets's calculate GCF of 602,175,677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1037475/1

Therefore the LCM of Fractions 53/602,29/175,675/677 is 1037475

Greatest Common Factor of 602,175,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,175,677 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

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 602,175,677 . The biggest common factor number is the GCF number.
So the greatest common factor 602,175,677 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 53/602, 29/175, 675/677

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 53/602, 29/175, 675/677?

Answer: LCM of Numerators as per given numbers 53/602, 29/175, 675/677 is

LCM of Numerators i.e. for 53,29,675 is 1037475

GCF of denominators i.e. for 602,175,677 is 1.

Thus, LCM of Fractions is 1037475.Finally, LCM of Fractions for 53/602, 29/175, 675/677 is 1037475.