Least Common Multiple of 35/85, 34/47, 43/929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 35/85, 34/47, 43/929 quickly i.e. 51170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/85, 34/47, 43/929 is 51170.

LCM(35/85, 34/47, 43/929) = 51170

LCM of 35/85, 34/47, 43/929

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 35/85,34/47,43/929

Given numbers are 35/85,34/47,43/929

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 35,34,43

Least Common Multiple of Numerators i.e. LCM of 35,34,43 is 51170.

GCF of Denominators means GCF of 85,47,929 as per the given fractions.

GCF of 85,47,929 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,34,43

LCM of Fractions 35/85,34/47,43/929 is 51170

Given numbers has no common factors except 1. So, there LCM is their product i.e 51170

Least Common Multiple of 35,34,43 with GCF Formula

Least Common Multiple of 35,34,43 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 35,34,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,34,43) = 1

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

GCF(35,34,43) x common factors =1 x 1 = 1

LCM(35,34,43) = ( 35 × 34 × 43 ) / 1

LCM(35,34,43) = 51170 / 1

LCM(35,34,43) = 51170


Lets's calculate GCF of 85,47,929

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51170/1

Therefore the LCM of Fractions 35/85,34/47,43/929 is 51170

Greatest Common Factor of 85,47,929 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,47,929 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Greatest Common Factor

We found the factors 85,47,929 . The biggest common factor number is the GCF number.
So the greatest common factor 85,47,929 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 35/85, 34/47, 43/929

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 35/85, 34/47, 43/929?

Answer: LCM of Numerators as per given numbers 35/85, 34/47, 43/929 is

LCM of Numerators i.e. for 35,34,43 is 51170

GCF of denominators i.e. for 85,47,929 is 1.

Thus, LCM of Fractions is 51170.Finally, LCM of Fractions for 35/85, 34/47, 43/929 is 51170.