Least Common Multiple of 4932/56, 6598/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4932/56, 6598/923 quickly i.e. 16270668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4932/56, 6598/923 is 16270668.

LCM(4932/56, 6598/923) = 16270668

LCM of 4932/56, 6598/923

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 4932/56,6598/923

Given numbers are 4932/56,6598/923

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 4932,6598

Least Common Multiple of Numerators i.e. LCM of 4932,6598 is 16270668.

GCF of Denominators means GCF of 56,923 as per the given fractions.

GCF of 56,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4932,6598

LCM of Fractions 4932/56,6598/923 is 16270668

2 4932, 6598
2466, 3299

∴ So the LCM of the given numbers is 2 x 2466 x 3299 = 16270668

Least Common Multiple of 4932,6598 with GCF Formula

Least Common Multiple of 4932,6598 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 4932,6598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4932,6598) = 2

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

GCF(4932,6598) x common factors =2 x 1 = 2

LCM(4932,6598) = ( 4932 × 6598 ) / 2

LCM(4932,6598) = 32541336 / 2

LCM(4932,6598) = 16270668


Lets's calculate GCF of 56,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16270668/1

Therefore the LCM of Fractions 4932/56,6598/923 is 16270668

Greatest Common Factor of 56,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,923 By Matching Biggest Common Factor Method

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 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 56,923 . The biggest common factor number is the GCF number.
So the greatest common factor 56,923 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4932/56, 6598/923

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 4932/56, 6598/923?

Answer: LCM of Numerators as per given numbers 4932/56, 6598/923 is

LCM of Numerators i.e. for 4932,6598 is 16270668

GCF of denominators i.e. for 56,923 is 1.

Thus, LCM of Fractions is 16270668.Finally, LCM of Fractions for 4932/56, 6598/923 is 16270668.