Least Common Multiple of 60/153, 503/998, 979/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/153, 503/998, 979/505 quickly i.e. 29546220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/153, 503/998, 979/505 is 29546220.

LCM(60/153, 503/998, 979/505) = 29546220

LCM of 60/153, 503/998, 979/505

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 60/153,503/998,979/505

Given numbers are 60/153,503/998,979/505

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 60,503,979

Least Common Multiple of Numerators i.e. LCM of 60,503,979 is 29546220.

GCF of Denominators means GCF of 153,998,505 as per the given fractions.

GCF of 153,998,505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,503,979

LCM of Fractions 60/153,503/998,979/505 is 29546220

Given numbers has no common factors except 1. So, there LCM is their product i.e 29546220

Least Common Multiple of 60,503,979 with GCF Formula

Least Common Multiple of 60,503,979 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 60,503,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,503,979) = 1

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

GCF(60,503,979) x common factors =1 x 1 = 1

LCM(60,503,979) = ( 60 × 503 × 979 ) / 1

LCM(60,503,979) = 29546220 / 1

LCM(60,503,979) = 29546220


Lets's calculate GCF of 153,998,505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29546220/1

Therefore the LCM of Fractions 60/153,503/998,979/505 is 29546220

Greatest Common Factor of 153,998,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,998,505 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 153,998,505 . The biggest common factor number is the GCF number.
So the greatest common factor 153,998,505 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 60/153, 503/998, 979/505

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 60/153, 503/998, 979/505?

Answer: LCM of Numerators as per given numbers 60/153, 503/998, 979/505 is

LCM of Numerators i.e. for 60,503,979 is 29546220

GCF of denominators i.e. for 153,998,505 is 1.

Thus, LCM of Fractions is 29546220.Finally, LCM of Fractions for 60/153, 503/998, 979/505 is 29546220.