Least Common Multiple of 6035/956, 8965/1824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6035/956, 8965/1824 quickly i.e. 10820755/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6035/956, 8965/1824 is 10820755/4.

LCM(6035/956, 8965/1824) = 10820755/4

LCM of 6035/956, 8965/1824

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 6035/956,8965/1824

Given numbers are 6035/956,8965/1824

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 6035,8965

Least Common Multiple of Numerators i.e. LCM of 6035,8965 is 10820755.

GCF of Denominators means GCF of 956,1824 as per the given fractions.

GCF of 956,1824 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6035,8965

LCM of Fractions 6035/956,8965/1824 is 10820755/4

5 6035, 8965
1207, 1793

∴ So the LCM of the given numbers is 5 x 1207 x 1793 = 10820755

Least Common Multiple of 6035,8965 with GCF Formula

Least Common Multiple of 6035,8965 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 6035,8965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6035,8965) = 5

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

GCF(6035,8965) x common factors =5 x 1 = 5

LCM(6035,8965) = ( 6035 × 8965 ) / 5

LCM(6035,8965) = 54103775 / 5

LCM(6035,8965) = 10820755


Lets's calculate GCF of 956,1824

2 956, 1824
2 478, 912
239, 456

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10820755/4

Therefore the LCM of Fractions 6035/956,8965/1824 is 10820755/4

Greatest Common Factor of 956,1824 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,1824 By Matching Biggest Common Factor Method

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 1824

List of positive integer factors of 1824 that divides 1824 without a remainder.

1,2,3,4,6,8,12,16,19,24,32,38,48,57,76,96,114,152,228,304,456,608,912,1824

Greatest Common Factor

We found the factors 956,1824 . The biggest common factor number is the GCF number.
So the greatest common factor 956,1824 is 4.


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 6035/956, 8965/1824

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 6035/956, 8965/1824?

Answer: LCM of Numerators as per given numbers 6035/956, 8965/1824 is

LCM of Numerators i.e. for 6035,8965 is 10820755

GCF of denominators i.e. for 956,1824 is 4.

Thus, LCM of Fractions is 10820755/4.Finally, LCM of Fractions for 6035/956, 8965/1824 is 10820755/4.