Least Common Multiple of 347/273, 869/935, 130/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 347/273, 869/935, 130/343 quickly i.e. 39200590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 347/273, 869/935, 130/343 is 39200590.

LCM(347/273, 869/935, 130/343) = 39200590

LCM of 347/273, 869/935, 130/343

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 347/273,869/935,130/343

Given numbers are 347/273,869/935,130/343

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 347,869,130

Least Common Multiple of Numerators i.e. LCM of 347,869,130 is 39200590.

GCF of Denominators means GCF of 273,935,343 as per the given fractions.

GCF of 273,935,343 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 347,869,130

LCM of Fractions 347/273,869/935,130/343 is 39200590

Given numbers has no common factors except 1. So, there LCM is their product i.e 39200590

Least Common Multiple of 347,869,130 with GCF Formula

Least Common Multiple of 347,869,130 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 347,869,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,869,130) = 1

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

GCF(347,869,130) x common factors =1 x 1 = 1

LCM(347,869,130) = ( 347 × 869 × 130 ) / 1

LCM(347,869,130) = 39200590 / 1

LCM(347,869,130) = 39200590


Lets's calculate GCF of 273,935,343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39200590/1

Therefore the LCM of Fractions 347/273,869/935,130/343 is 39200590

Greatest Common Factor of 273,935,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,935,343 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 273,935,343 . The biggest common factor number is the GCF number.
So the greatest common factor 273,935,343 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 347/273, 869/935, 130/343

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 347/273, 869/935, 130/343?

Answer: LCM of Numerators as per given numbers 347/273, 869/935, 130/343 is

LCM of Numerators i.e. for 347,869,130 is 39200590

GCF of denominators i.e. for 273,935,343 is 1.

Thus, LCM of Fractions is 39200590.Finally, LCM of Fractions for 347/273, 869/935, 130/343 is 39200590.