Least Common Multiple of 48/216, 296/236, 507/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/216, 296/236, 507/503 quickly i.e. 300144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/216, 296/236, 507/503 is 300144.

LCM(48/216, 296/236, 507/503) = 300144

LCM of 48/216, 296/236, 507/503

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 48/216,296/236,507/503

Given numbers are 48/216,296/236,507/503

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 48,296,507

Least Common Multiple of Numerators i.e. LCM of 48,296,507 is 300144.

GCF of Denominators means GCF of 216,236,503 as per the given fractions.

GCF of 216,236,503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,296,507

LCM of Fractions 48/216,296/236,507/503 is 300144

2 48, 296, 507
2 24, 148, 507
2 12, 74, 507
3 6, 37, 507
2, 37, 169

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 2 x 37 x 169 = 300144

Least Common Multiple of 48,296,507 with GCF Formula

Least Common Multiple of 48,296,507 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 48,296,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,296,507) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(48,296,507) x common factors =1 x 24 = 24

LCM(48,296,507) = ( 48 × 296 × 507 ) / 24

LCM(48,296,507) = 7203456 / 24

LCM(48,296,507) = 300144


Lets's calculate GCF of 216,236,503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300144/1

Therefore the LCM of Fractions 48/216,296/236,507/503 is 300144

Greatest Common Factor of 216,236,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,236,503 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 216,236,503 . The biggest common factor number is the GCF number.
So the greatest common factor 216,236,503 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 48/216, 296/236, 507/503

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 48/216, 296/236, 507/503?

Answer: LCM of Numerators as per given numbers 48/216, 296/236, 507/503 is

LCM of Numerators i.e. for 48,296,507 is 300144

GCF of denominators i.e. for 216,236,503 is 1.

Thus, LCM of Fractions is 300144.Finally, LCM of Fractions for 48/216, 296/236, 507/503 is 300144.