Least Common Multiple of 4748/948, 5689/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4748/948, 5689/387 quickly i.e. 27011372/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4748/948, 5689/387 is 27011372/3.

LCM(4748/948, 5689/387) = 27011372/3

LCM of 4748/948, 5689/387

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 4748/948,5689/387

Given numbers are 4748/948,5689/387

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 4748,5689

Least Common Multiple of Numerators i.e. LCM of 4748,5689 is 27011372.

GCF of Denominators means GCF of 948,387 as per the given fractions.

GCF of 948,387 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4748,5689

LCM of Fractions 4748/948,5689/387 is 27011372/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 27011372

Least Common Multiple of 4748,5689 with GCF Formula

Least Common Multiple of 4748,5689 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 4748,5689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4748,5689) = 1

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

GCF(4748,5689) x common factors =1 x 1 = 1

LCM(4748,5689) = ( 4748 × 5689 ) / 1

LCM(4748,5689) = 27011372 / 1

LCM(4748,5689) = 27011372


Lets's calculate GCF of 948,387

3 948, 387
316, 129

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27011372/3

Therefore the LCM of Fractions 4748/948,5689/387 is 27011372/3

Greatest Common Factor of 948,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,387 By Matching Biggest Common Factor Method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 948,387 . The biggest common factor number is the GCF number.
So the greatest common factor 948,387 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4748/948, 5689/387

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 4748/948, 5689/387?

Answer: LCM of Numerators as per given numbers 4748/948, 5689/387 is

LCM of Numerators i.e. for 4748,5689 is 27011372

GCF of denominators i.e. for 948,387 is 3.

Thus, LCM of Fractions is 27011372/3.Finally, LCM of Fractions for 4748/948, 5689/387 is 27011372/3.