Least Common Multiple of 474/50, 628/6204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 474/50, 628/6204 quickly i.e. 74418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 474/50, 628/6204 is 74418.

LCM(474/50, 628/6204) = 74418

LCM of 474/50, 628/6204

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 474/50,628/6204

Given numbers are 474/50,628/6204

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 474,628

Least Common Multiple of Numerators i.e. LCM of 474,628 is 148836.

GCF of Denominators means GCF of 50,6204 as per the given fractions.

GCF of 50,6204 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 474,628

LCM of Fractions 474/50,628/6204 is 74418

2 474, 628
237, 314

∴ So the LCM of the given numbers is 2 x 237 x 314 = 148836

Least Common Multiple of 474,628 with GCF Formula

Least Common Multiple of 474,628 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 474,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,628) = 2

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

GCF(474,628) x common factors =2 x 1 = 2

LCM(474,628) = ( 474 × 628 ) / 2

LCM(474,628) = 297672 / 2

LCM(474,628) = 148836


Lets's calculate GCF of 50,6204

2 50, 6204
25, 3102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148836/2

Therefore the LCM of Fractions 474/50,628/6204 is 74418

Greatest Common Factor of 50,6204 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,6204 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 6204

List of positive integer factors of 6204 that divides 6204 without a remainder.

1,2,3,4,6,11,12,22,33,44,47,66,94,132,141,188,282,517,564,1034,1551,2068,3102,6204

Greatest Common Factor

We found the factors 50,6204 . The biggest common factor number is the GCF number.
So the greatest common factor 50,6204 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 474/50, 628/6204

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 474/50, 628/6204?

Answer: LCM of Numerators as per given numbers 474/50, 628/6204 is

LCM of Numerators i.e. for 474,628 is 148836

GCF of denominators i.e. for 50,6204 is 2.

Thus, LCM of Fractions is 74418.Finally, LCM of Fractions for 474/50, 628/6204 is 74418.