Least Common Multiple of 577/42, 153/7333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 577/42, 153/7333 quickly i.e. 88281 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 577/42, 153/7333 is 88281.

LCM(577/42, 153/7333) = 88281

LCM of 577/42, 153/7333

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 577/42,153/7333

Given numbers are 577/42,153/7333

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 577,153

Least Common Multiple of Numerators i.e. LCM of 577,153 is 88281.

GCF of Denominators means GCF of 42,7333 as per the given fractions.

GCF of 42,7333 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 577,153

LCM of Fractions 577/42,153/7333 is 88281

Given numbers has no common factors except 1. So, there LCM is their product i.e 88281

Least Common Multiple of 577,153 with GCF Formula

Least Common Multiple of 577,153 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 577,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,153) = 1

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

GCF(577,153) x common factors =1 x 1 = 1

LCM(577,153) = ( 577 × 153 ) / 1

LCM(577,153) = 88281 / 1

LCM(577,153) = 88281


Lets's calculate GCF of 42,7333

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88281/1

Therefore the LCM of Fractions 577/42,153/7333 is 88281

Greatest Common Factor of 42,7333 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,7333 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 7333

List of positive integer factors of 7333 that divides 7333 without a remainder.

1,7333

Greatest Common Factor

We found the factors 42,7333 . The biggest common factor number is the GCF number.
So the greatest common factor 42,7333 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 577/42, 153/7333

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 577/42, 153/7333?

Answer: LCM of Numerators as per given numbers 577/42, 153/7333 is

LCM of Numerators i.e. for 577,153 is 88281

GCF of denominators i.e. for 42,7333 is 1.

Thus, LCM of Fractions is 88281.Finally, LCM of Fractions for 577/42, 153/7333 is 88281.