Least Common Multiple of 505/25, 540/56, 949/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 505/25, 540/56, 949/302 quickly i.e. 51758460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/25, 540/56, 949/302 is 51758460.

LCM(505/25, 540/56, 949/302) = 51758460

LCM of 505/25, 540/56, 949/302

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 505/25,540/56,949/302

Given numbers are 505/25,540/56,949/302

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 505,540,949

Least Common Multiple of Numerators i.e. LCM of 505,540,949 is 51758460.

GCF of Denominators means GCF of 25,56,302 as per the given fractions.

GCF of 25,56,302 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,540,949

LCM of Fractions 505/25,540/56,949/302 is 51758460

5 505, 540, 949
101, 108, 949

∴ So the LCM of the given numbers is 5 x 101 x 108 x 949 = 51758460

Least Common Multiple of 505,540,949 with GCF Formula

Least Common Multiple of 505,540,949 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 505,540,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,540,949) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(505,540,949) x common factors =1 x 5 = 5

LCM(505,540,949) = ( 505 × 540 × 949 ) / 5

LCM(505,540,949) = 258792300 / 5

LCM(505,540,949) = 51758460


Lets's calculate GCF of 25,56,302

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51758460/1

Therefore the LCM of Fractions 505/25,540/56,949/302 is 51758460

Greatest Common Factor of 25,56,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,56,302 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 25,56,302 . The biggest common factor number is the GCF number.
So the greatest common factor 25,56,302 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 505/25, 540/56, 949/302

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 505/25, 540/56, 949/302?

Answer: LCM of Numerators as per given numbers 505/25, 540/56, 949/302 is

LCM of Numerators i.e. for 505,540,949 is 51758460

GCF of denominators i.e. for 25,56,302 is 1.

Thus, LCM of Fractions is 51758460.Finally, LCM of Fractions for 505/25, 540/56, 949/302 is 51758460.