Least Common Multiple of 52/554, 7489/3472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 52/554, 7489/3472 quickly i.e. 194714 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/554, 7489/3472 is 194714.

LCM(52/554, 7489/3472) = 194714

LCM of 52/554, 7489/3472

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 52/554,7489/3472

Given numbers are 52/554,7489/3472

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 52,7489

Least Common Multiple of Numerators i.e. LCM of 52,7489 is 389428.

GCF of Denominators means GCF of 554,3472 as per the given fractions.

GCF of 554,3472 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,7489

LCM of Fractions 52/554,7489/3472 is 194714

Given numbers has no common factors except 1. So, there LCM is their product i.e 389428

Least Common Multiple of 52,7489 with GCF Formula

Least Common Multiple of 52,7489 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 52,7489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,7489) = 1

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

GCF(52,7489) x common factors =1 x 1 = 1

LCM(52,7489) = ( 52 × 7489 ) / 1

LCM(52,7489) = 389428 / 1

LCM(52,7489) = 389428


Lets's calculate GCF of 554,3472

2 554, 3472
277, 1736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 389428/2

Therefore the LCM of Fractions 52/554,7489/3472 is 194714

Greatest Common Factor of 554,3472 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,3472 By Matching Biggest Common Factor Method

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 3472

List of positive integer factors of 3472 that divides 3472 without a remainder.

1,2,4,7,8,14,16,28,31,56,62,112,124,217,248,434,496,868,1736,3472

Greatest Common Factor

We found the factors 554,3472 . The biggest common factor number is the GCF number.
So the greatest common factor 554,3472 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 52/554, 7489/3472

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 52/554, 7489/3472?

Answer: LCM of Numerators as per given numbers 52/554, 7489/3472 is

LCM of Numerators i.e. for 52,7489 is 389428

GCF of denominators i.e. for 554,3472 is 2.

Thus, LCM of Fractions is 194714.Finally, LCM of Fractions for 52/554, 7489/3472 is 194714.