Least Common Multiple of 680/115, 932/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 680/115, 932/198 quickly i.e. 158440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 680/115, 932/198 is 158440.

LCM(680/115, 932/198) = 158440

LCM of 680/115, 932/198

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 680/115,932/198

Given numbers are 680/115,932/198

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 680,932

Least Common Multiple of Numerators i.e. LCM of 680,932 is 158440.

GCF of Denominators means GCF of 115,198 as per the given fractions.

GCF of 115,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 680,932

LCM of Fractions 680/115,932/198 is 158440

2 680, 932
2 340, 466
170, 233

∴ So the LCM of the given numbers is 2 x 2 x 170 x 233 = 158440

Least Common Multiple of 680,932 with GCF Formula

Least Common Multiple of 680,932 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 680,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,932) = 4

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

GCF(680,932) x common factors =4 x 1 = 4

LCM(680,932) = ( 680 × 932 ) / 4

LCM(680,932) = 633760 / 4

LCM(680,932) = 158440


Lets's calculate GCF of 115,198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158440/1

Therefore the LCM of Fractions 680/115,932/198 is 158440

Greatest Common Factor of 115,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,198 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 115,198 . The biggest common factor number is the GCF number.
So the greatest common factor 115,198 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 680/115, 932/198

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 680/115, 932/198?

Answer: LCM of Numerators as per given numbers 680/115, 932/198 is

LCM of Numerators i.e. for 680,932 is 158440

GCF of denominators i.e. for 115,198 is 1.

Thus, LCM of Fractions is 158440.Finally, LCM of Fractions for 680/115, 932/198 is 158440.