Least Common Multiple of 116/410, 1530/246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 116/410, 1530/246 quickly i.e. 88740/82 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 116/410, 1530/246 is 88740/82.

LCM(116/410, 1530/246) = 88740/82

LCM of 116/410, 1530/246

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 116/410,1530/246

Given numbers are 116/410,1530/246

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 116,1530

Least Common Multiple of Numerators i.e. LCM of 116,1530 is 88740.

GCF of Denominators means GCF of 410,246 as per the given fractions.

GCF of 410,246 is 82 as it is the largest common factor for these numbers.

Lets's calculate LCM of 116,1530

LCM of Fractions 116/410,1530/246 is 88740/82

2 116, 1530
58, 765

∴ So the LCM of the given numbers is 2 x 58 x 765 = 88740

Least Common Multiple of 116,1530 with GCF Formula

Least Common Multiple of 116,1530 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 116,1530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,1530) = 2

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

GCF(116,1530) x common factors =2 x 1 = 2

LCM(116,1530) = ( 116 × 1530 ) / 2

LCM(116,1530) = 177480 / 2

LCM(116,1530) = 88740


Lets's calculate GCF of 410,246

2 410, 246
41 205, 123
5, 3

∴ So the GCF of the given numbers is 2 x 41 = 82

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88740/82

Therefore the LCM of Fractions 116/410,1530/246 is 88740/82

Greatest Common Factor of 410,246 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,246 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Greatest Common Factor

We found the factors 410,246 . The biggest common factor number is the GCF number.
So the greatest common factor 410,246 is 82.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 116/410, 1530/246

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 116/410, 1530/246?

Answer: LCM of Numerators as per given numbers 116/410, 1530/246 is

LCM of Numerators i.e. for 116,1530 is 88740

GCF of denominators i.e. for 410,246 is 82.

Thus, LCM of Fractions is 88740/82.Finally, LCM of Fractions for 116/410, 1530/246 is 88740/82.