Least Common Multiple of 293/685, 299/931, 709/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 293/685, 299/931, 709/915 quickly i.e. 62113363 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 293/685, 299/931, 709/915 is 62113363.

LCM(293/685, 299/931, 709/915) = 62113363

LCM of 293/685, 299/931, 709/915

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 293/685,299/931,709/915

Given numbers are 293/685,299/931,709/915

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 293,299,709

Least Common Multiple of Numerators i.e. LCM of 293,299,709 is 62113363.

GCF of Denominators means GCF of 685,931,915 as per the given fractions.

GCF of 685,931,915 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 293,299,709

LCM of Fractions 293/685,299/931,709/915 is 62113363

Given numbers has no common factors except 1. So, there LCM is their product i.e 62113363

Least Common Multiple of 293,299,709 with GCF Formula

Least Common Multiple of 293,299,709 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 293,299,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,299,709) = 1

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

GCF(293,299,709) x common factors =1 x 1 = 1

LCM(293,299,709) = ( 293 × 299 × 709 ) / 1

LCM(293,299,709) = 62113363 / 1

LCM(293,299,709) = 62113363


Lets's calculate GCF of 685,931,915

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62113363/1

Therefore the LCM of Fractions 293/685,299/931,709/915 is 62113363

Greatest Common Factor of 685,931,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,931,915 By Matching Biggest Common Factor Method

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 685,931,915 . The biggest common factor number is the GCF number.
So the greatest common factor 685,931,915 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 293/685, 299/931, 709/915

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 293/685, 299/931, 709/915?

Answer: LCM of Numerators as per given numbers 293/685, 299/931, 709/915 is

LCM of Numerators i.e. for 293,299,709 is 62113363

GCF of denominators i.e. for 685,931,915 is 1.

Thus, LCM of Fractions is 62113363.Finally, LCM of Fractions for 293/685, 299/931, 709/915 is 62113363.