Least Common Multiple of 490/838, 4800/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/838, 4800/140 quickly i.e. 117600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/838, 4800/140 is 117600.

LCM(490/838, 4800/140) = 117600

LCM of 490/838, 4800/140

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 490/838,4800/140

Given numbers are 490/838,4800/140

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 490,4800

Least Common Multiple of Numerators i.e. LCM of 490,4800 is 235200.

GCF of Denominators means GCF of 838,140 as per the given fractions.

GCF of 838,140 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,4800

LCM of Fractions 490/838,4800/140 is 117600

2 490, 4800
5 245, 2400
49, 480

∴ So the LCM of the given numbers is 2 x 5 x 49 x 480 = 235200

Least Common Multiple of 490,4800 with GCF Formula

Least Common Multiple of 490,4800 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 490,4800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,4800) = 10

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

GCF(490,4800) x common factors =10 x 1 = 10

LCM(490,4800) = ( 490 × 4800 ) / 10

LCM(490,4800) = 2352000 / 10

LCM(490,4800) = 235200


Lets's calculate GCF of 838,140

2 838, 140
419, 70

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235200/2

Therefore the LCM of Fractions 490/838,4800/140 is 117600

Greatest Common Factor of 838,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,140 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 838,140 . The biggest common factor number is the GCF number.
So the greatest common factor 838,140 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 490/838, 4800/140

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 490/838, 4800/140?

Answer: LCM of Numerators as per given numbers 490/838, 4800/140 is

LCM of Numerators i.e. for 490,4800 is 235200

GCF of denominators i.e. for 838,140 is 2.

Thus, LCM of Fractions is 117600.Finally, LCM of Fractions for 490/838, 4800/140 is 117600.