Least Common Multiple of 838/747, 4816/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 838/747, 4816/662 quickly i.e. 2017904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 838/747, 4816/662 is 2017904.

LCM(838/747, 4816/662) = 2017904

LCM of 838/747, 4816/662

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 838/747,4816/662

Given numbers are 838/747,4816/662

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 838,4816

Least Common Multiple of Numerators i.e. LCM of 838,4816 is 2017904.

GCF of Denominators means GCF of 747,662 as per the given fractions.

GCF of 747,662 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 838,4816

LCM of Fractions 838/747,4816/662 is 2017904

2 838, 4816
419, 2408

∴ So the LCM of the given numbers is 2 x 419 x 2408 = 2017904

Least Common Multiple of 838,4816 with GCF Formula

Least Common Multiple of 838,4816 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 838,4816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,4816) = 2

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

GCF(838,4816) x common factors =2 x 1 = 2

LCM(838,4816) = ( 838 × 4816 ) / 2

LCM(838,4816) = 4035808 / 2

LCM(838,4816) = 2017904


Lets's calculate GCF of 747,662

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2017904/1

Therefore the LCM of Fractions 838/747,4816/662 is 2017904

Greatest Common Factor of 747,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,662 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 747,662 . The biggest common factor number is the GCF number.
So the greatest common factor 747,662 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 838/747, 4816/662

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 838/747, 4816/662?

Answer: LCM of Numerators as per given numbers 838/747, 4816/662 is

LCM of Numerators i.e. for 838,4816 is 2017904

GCF of denominators i.e. for 747,662 is 1.

Thus, LCM of Fractions is 2017904.Finally, LCM of Fractions for 838/747, 4816/662 is 2017904.