Least Common Multiple of 838/740, 788/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 838/740, 788/486 quickly i.e. 165086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 838/740, 788/486 is 165086.

LCM(838/740, 788/486) = 165086

LCM of 838/740, 788/486

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 838/740,788/486

Given numbers are 838/740,788/486

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 838,788

Least Common Multiple of Numerators i.e. LCM of 838,788 is 330172.

GCF of Denominators means GCF of 740,486 as per the given fractions.

GCF of 740,486 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 838,788

LCM of Fractions 838/740,788/486 is 165086

2 838, 788
419, 394

∴ So the LCM of the given numbers is 2 x 419 x 394 = 330172

Least Common Multiple of 838,788 with GCF Formula

Least Common Multiple of 838,788 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 838,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,788) = 2

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

GCF(838,788) x common factors =2 x 1 = 2

LCM(838,788) = ( 838 × 788 ) / 2

LCM(838,788) = 660344 / 2

LCM(838,788) = 330172


Lets's calculate GCF of 740,486

2 740, 486
370, 243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330172/2

Therefore the LCM of Fractions 838/740,788/486 is 165086

Greatest Common Factor of 740,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,486 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 740,486 . The biggest common factor number is the GCF number.
So the greatest common factor 740,486 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 838/740, 788/486

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 838/740, 788/486?

Answer: LCM of Numerators as per given numbers 838/740, 788/486 is

LCM of Numerators i.e. for 838,788 is 330172

GCF of denominators i.e. for 740,486 is 2.

Thus, LCM of Fractions is 165086.Finally, LCM of Fractions for 838/740, 788/486 is 165086.