Least Common Multiple of 4367/474, 2247/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4367/474, 2247/750 quickly i.e. 9812649/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4367/474, 2247/750 is 9812649/6.

LCM(4367/474, 2247/750) = 9812649/6

LCM of 4367/474, 2247/750

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 4367/474,2247/750

Given numbers are 4367/474,2247/750

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 4367,2247

Least Common Multiple of Numerators i.e. LCM of 4367,2247 is 9812649.

GCF of Denominators means GCF of 474,750 as per the given fractions.

GCF of 474,750 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4367,2247

LCM of Fractions 4367/474,2247/750 is 9812649/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 9812649

Least Common Multiple of 4367,2247 with GCF Formula

Least Common Multiple of 4367,2247 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 4367,2247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4367,2247) = 1

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

GCF(4367,2247) x common factors =1 x 1 = 1

LCM(4367,2247) = ( 4367 × 2247 ) / 1

LCM(4367,2247) = 9812649 / 1

LCM(4367,2247) = 9812649


Lets's calculate GCF of 474,750

2 474, 750
3 237, 375
79, 125

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9812649/6

Therefore the LCM of Fractions 4367/474,2247/750 is 9812649/6

Greatest Common Factor of 474,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,750 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 474,750 . The biggest common factor number is the GCF number.
So the greatest common factor 474,750 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4367/474, 2247/750

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 4367/474, 2247/750?

Answer: LCM of Numerators as per given numbers 4367/474, 2247/750 is

LCM of Numerators i.e. for 4367,2247 is 9812649

GCF of denominators i.e. for 474,750 is 6.

Thus, LCM of Fractions is 9812649/6.Finally, LCM of Fractions for 4367/474, 2247/750 is 9812649/6.