Least Common Multiple of 3160/683, 7203/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3160/683, 7203/490 quickly i.e. 22761480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3160/683, 7203/490 is 22761480.

LCM(3160/683, 7203/490) = 22761480

LCM of 3160/683, 7203/490

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 3160/683,7203/490

Given numbers are 3160/683,7203/490

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 3160,7203

Least Common Multiple of Numerators i.e. LCM of 3160,7203 is 22761480.

GCF of Denominators means GCF of 683,490 as per the given fractions.

GCF of 683,490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3160,7203

LCM of Fractions 3160/683,7203/490 is 22761480

Given numbers has no common factors except 1. So, there LCM is their product i.e 22761480

Least Common Multiple of 3160,7203 with GCF Formula

Least Common Multiple of 3160,7203 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 3160,7203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3160,7203) = 1

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

GCF(3160,7203) x common factors =1 x 1 = 1

LCM(3160,7203) = ( 3160 × 7203 ) / 1

LCM(3160,7203) = 22761480 / 1

LCM(3160,7203) = 22761480


Lets's calculate GCF of 683,490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22761480/1

Therefore the LCM of Fractions 3160/683,7203/490 is 22761480

Greatest Common Factor of 683,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 683,490 By Matching Biggest Common Factor Method

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 683,490 . The biggest common factor number is the GCF number.
So the greatest common factor 683,490 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3160/683, 7203/490

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 3160/683, 7203/490?

Answer: LCM of Numerators as per given numbers 3160/683, 7203/490 is

LCM of Numerators i.e. for 3160,7203 is 22761480

GCF of denominators i.e. for 683,490 is 1.

Thus, LCM of Fractions is 22761480.Finally, LCM of Fractions for 3160/683, 7203/490 is 22761480.