Least Common Multiple of 4468/632, 9142/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4468/632, 9142/802 quickly i.e. 10211614 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4468/632, 9142/802 is 10211614.

LCM(4468/632, 9142/802) = 10211614

LCM of 4468/632, 9142/802

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 4468/632,9142/802

Given numbers are 4468/632,9142/802

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 4468,9142

Least Common Multiple of Numerators i.e. LCM of 4468,9142 is 20423228.

GCF of Denominators means GCF of 632,802 as per the given fractions.

GCF of 632,802 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4468,9142

LCM of Fractions 4468/632,9142/802 is 10211614

2 4468, 9142
2234, 4571

∴ So the LCM of the given numbers is 2 x 2234 x 4571 = 20423228

Least Common Multiple of 4468,9142 with GCF Formula

Least Common Multiple of 4468,9142 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 4468,9142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4468,9142) = 2

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

GCF(4468,9142) x common factors =2 x 1 = 2

LCM(4468,9142) = ( 4468 × 9142 ) / 2

LCM(4468,9142) = 40846456 / 2

LCM(4468,9142) = 20423228


Lets's calculate GCF of 632,802

2 632, 802
316, 401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20423228/2

Therefore the LCM of Fractions 4468/632,9142/802 is 10211614

Greatest Common Factor of 632,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,802 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 632,802 . The biggest common factor number is the GCF number.
So the greatest common factor 632,802 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4468/632, 9142/802

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 4468/632, 9142/802?

Answer: LCM of Numerators as per given numbers 4468/632, 9142/802 is

LCM of Numerators i.e. for 4468,9142 is 20423228

GCF of denominators i.e. for 632,802 is 2.

Thus, LCM of Fractions is 10211614.Finally, LCM of Fractions for 4468/632, 9142/802 is 10211614.