Least Common Multiple of 535/425, 1948/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 535/425, 1948/835 quickly i.e. 208436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 535/425, 1948/835 is 208436.

LCM(535/425, 1948/835) = 208436

LCM of 535/425, 1948/835

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 535/425,1948/835

Given numbers are 535/425,1948/835

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 535,1948

Least Common Multiple of Numerators i.e. LCM of 535,1948 is 1042180.

GCF of Denominators means GCF of 425,835 as per the given fractions.

GCF of 425,835 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 535,1948

LCM of Fractions 535/425,1948/835 is 208436

Given numbers has no common factors except 1. So, there LCM is their product i.e 1042180

Least Common Multiple of 535,1948 with GCF Formula

Least Common Multiple of 535,1948 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 535,1948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,1948) = 1

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

GCF(535,1948) x common factors =1 x 1 = 1

LCM(535,1948) = ( 535 × 1948 ) / 1

LCM(535,1948) = 1042180 / 1

LCM(535,1948) = 1042180


Lets's calculate GCF of 425,835

5 425, 835
85, 167

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1042180/5

Therefore the LCM of Fractions 535/425,1948/835 is 208436

Greatest Common Factor of 425,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,835 By Matching Biggest Common Factor Method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 425,835 . The biggest common factor number is the GCF number.
So the greatest common factor 425,835 is 5.


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 535/425, 1948/835

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 535/425, 1948/835?

Answer: LCM of Numerators as per given numbers 535/425, 1948/835 is

LCM of Numerators i.e. for 535,1948 is 1042180

GCF of denominators i.e. for 425,835 is 5.

Thus, LCM of Fractions is 208436.Finally, LCM of Fractions for 535/425, 1948/835 is 208436.