Least Common Multiple of 51/482, 4705/7382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 51/482, 4705/7382 quickly i.e. 239955/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/482, 4705/7382 is 239955/2.

LCM(51/482, 4705/7382) = 239955/2

LCM of 51/482, 4705/7382

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 51/482,4705/7382

Given numbers are 51/482,4705/7382

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 51,4705

Least Common Multiple of Numerators i.e. LCM of 51,4705 is 239955.

GCF of Denominators means GCF of 482,7382 as per the given fractions.

GCF of 482,7382 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,4705

LCM of Fractions 51/482,4705/7382 is 239955/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 239955

Least Common Multiple of 51,4705 with GCF Formula

Least Common Multiple of 51,4705 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 51,4705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,4705) = 1

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

GCF(51,4705) x common factors =1 x 1 = 1

LCM(51,4705) = ( 51 × 4705 ) / 1

LCM(51,4705) = 239955 / 1

LCM(51,4705) = 239955


Lets's calculate GCF of 482,7382

2 482, 7382
241, 3691

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239955/2

Therefore the LCM of Fractions 51/482,4705/7382 is 239955/2

Greatest Common Factor of 482,7382 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,7382 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 7382

List of positive integer factors of 7382 that divides 7382 without a remainder.

1,2,3691,7382

Greatest Common Factor

We found the factors 482,7382 . The biggest common factor number is the GCF number.
So the greatest common factor 482,7382 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 51/482, 4705/7382

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 51/482, 4705/7382?

Answer: LCM of Numerators as per given numbers 51/482, 4705/7382 is

LCM of Numerators i.e. for 51,4705 is 239955

GCF of denominators i.e. for 482,7382 is 2.

Thus, LCM of Fractions is 239955/2.Finally, LCM of Fractions for 51/482, 4705/7382 is 239955/2.