Least Common Multiple of 686/937, 1283/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 686/937, 1283/589 quickly i.e. 880138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/937, 1283/589 is 880138.

LCM(686/937, 1283/589) = 880138

LCM of 686/937, 1283/589

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 686/937,1283/589

Given numbers are 686/937,1283/589

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 686,1283

Least Common Multiple of Numerators i.e. LCM of 686,1283 is 880138.

GCF of Denominators means GCF of 937,589 as per the given fractions.

GCF of 937,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,1283

LCM of Fractions 686/937,1283/589 is 880138

Given numbers has no common factors except 1. So, there LCM is their product i.e 880138

Least Common Multiple of 686,1283 with GCF Formula

Least Common Multiple of 686,1283 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 686,1283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,1283) = 1

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

GCF(686,1283) x common factors =1 x 1 = 1

LCM(686,1283) = ( 686 × 1283 ) / 1

LCM(686,1283) = 880138 / 1

LCM(686,1283) = 880138


Lets's calculate GCF of 937,589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 880138/1

Therefore the LCM of Fractions 686/937,1283/589 is 880138

Greatest Common Factor of 937,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 937,589 By Matching Biggest Common Factor Method

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 937,589 . The biggest common factor number is the GCF number.
So the greatest common factor 937,589 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 686/937, 1283/589

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 686/937, 1283/589?

Answer: LCM of Numerators as per given numbers 686/937, 1283/589 is

LCM of Numerators i.e. for 686,1283 is 880138

GCF of denominators i.e. for 937,589 is 1.

Thus, LCM of Fractions is 880138.Finally, LCM of Fractions for 686/937, 1283/589 is 880138.