Least Common Multiple of 902/248, 4641/7442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 902/248, 4641/7442 quickly i.e. 2093091 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 902/248, 4641/7442 is 2093091.

LCM(902/248, 4641/7442) = 2093091

LCM of 902/248, 4641/7442

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 902/248,4641/7442

Given numbers are 902/248,4641/7442

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 902,4641

Least Common Multiple of Numerators i.e. LCM of 902,4641 is 4186182.

GCF of Denominators means GCF of 248,7442 as per the given fractions.

GCF of 248,7442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 902,4641

LCM of Fractions 902/248,4641/7442 is 2093091

Given numbers has no common factors except 1. So, there LCM is their product i.e 4186182

Least Common Multiple of 902,4641 with GCF Formula

Least Common Multiple of 902,4641 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 902,4641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(902,4641) = 1

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

GCF(902,4641) x common factors =1 x 1 = 1

LCM(902,4641) = ( 902 × 4641 ) / 1

LCM(902,4641) = 4186182 / 1

LCM(902,4641) = 4186182


Lets's calculate GCF of 248,7442

2 248, 7442
124, 3721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4186182/2

Therefore the LCM of Fractions 902/248,4641/7442 is 2093091

Greatest Common Factor of 248,7442 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,7442 By Matching Biggest Common Factor Method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 7442

List of positive integer factors of 7442 that divides 7442 without a remainder.

1,2,61,122,3721,7442

Greatest Common Factor

We found the factors 248,7442 . The biggest common factor number is the GCF number.
So the greatest common factor 248,7442 is 2.


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Frequently Asked Questions on Fractional LCM of 902/248, 4641/7442

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 902/248, 4641/7442?

Answer: LCM of Numerators as per given numbers 902/248, 4641/7442 is

LCM of Numerators i.e. for 902,4641 is 4186182

GCF of denominators i.e. for 248,7442 is 2.

Thus, LCM of Fractions is 2093091.Finally, LCM of Fractions for 902/248, 4641/7442 is 2093091.