Least Common Multiple of 1808/962, 4938/9264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1808/962, 4938/9264 quickly i.e. 2231976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1808/962, 4938/9264 is 2231976.

LCM(1808/962, 4938/9264) = 2231976

LCM of 1808/962, 4938/9264

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 1808/962,4938/9264

Given numbers are 1808/962,4938/9264

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 1808,4938

Least Common Multiple of Numerators i.e. LCM of 1808,4938 is 4463952.

GCF of Denominators means GCF of 962,9264 as per the given fractions.

GCF of 962,9264 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1808,4938

LCM of Fractions 1808/962,4938/9264 is 2231976

2 1808, 4938
904, 2469

∴ So the LCM of the given numbers is 2 x 904 x 2469 = 4463952

Least Common Multiple of 1808,4938 with GCF Formula

Least Common Multiple of 1808,4938 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 1808,4938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1808,4938) = 2

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

GCF(1808,4938) x common factors =2 x 1 = 2

LCM(1808,4938) = ( 1808 × 4938 ) / 2

LCM(1808,4938) = 8927904 / 2

LCM(1808,4938) = 4463952


Lets's calculate GCF of 962,9264

2 962, 9264
481, 4632

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4463952/2

Therefore the LCM of Fractions 1808/962,4938/9264 is 2231976

Greatest Common Factor of 962,9264 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,9264 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 9264

List of positive integer factors of 9264 that divides 9264 without a remainder.

1,2,3,4,6,8,12,16,24,48,193,386,579,772,1158,1544,2316,3088,4632,9264

Greatest Common Factor

We found the factors 962,9264 . The biggest common factor number is the GCF number.
So the greatest common factor 962,9264 is 2.


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 1808/962, 4938/9264

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 1808/962, 4938/9264?

Answer: LCM of Numerators as per given numbers 1808/962, 4938/9264 is

LCM of Numerators i.e. for 1808,4938 is 4463952

GCF of denominators i.e. for 962,9264 is 2.

Thus, LCM of Fractions is 2231976.Finally, LCM of Fractions for 1808/962, 4938/9264 is 2231976.