Least Common Multiple of 504/45, 835/7140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 504/45, 835/7140 quickly i.e. 28056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/45, 835/7140 is 28056.

LCM(504/45, 835/7140) = 28056

LCM of 504/45, 835/7140

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 504/45,835/7140

Given numbers are 504/45,835/7140

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 504,835

Least Common Multiple of Numerators i.e. LCM of 504,835 is 420840.

GCF of Denominators means GCF of 45,7140 as per the given fractions.

GCF of 45,7140 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,835

LCM of Fractions 504/45,835/7140 is 28056

Given numbers has no common factors except 1. So, there LCM is their product i.e 420840

Least Common Multiple of 504,835 with GCF Formula

Least Common Multiple of 504,835 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 504,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,835) = 1

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

GCF(504,835) x common factors =1 x 1 = 1

LCM(504,835) = ( 504 × 835 ) / 1

LCM(504,835) = 420840 / 1

LCM(504,835) = 420840


Lets's calculate GCF of 45,7140

3 45, 7140
5 15, 2380
3, 476

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 420840/15

Therefore the LCM of Fractions 504/45,835/7140 is 28056

Greatest Common Factor of 45,7140 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,7140 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 7140

List of positive integer factors of 7140 that divides 7140 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,17,20,21,28,30,34,35,42,51,60,68,70,84,85,102,105,119,140,170,204,210,238,255,340,357,420,476,510,595,714,1020,1190,1428,1785,2380,3570,7140

Greatest Common Factor

We found the factors 45,7140 . The biggest common factor number is the GCF number.
So the greatest common factor 45,7140 is 15.


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 504/45, 835/7140

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 504/45, 835/7140?

Answer: LCM of Numerators as per given numbers 504/45, 835/7140 is

LCM of Numerators i.e. for 504,835 is 420840

GCF of denominators i.e. for 45,7140 is 15.

Thus, LCM of Fractions is 28056.Finally, LCM of Fractions for 504/45, 835/7140 is 28056.