Least Common Multiple of 734/86, 8508/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 734/86, 8508/472 quickly i.e. 1561218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/86, 8508/472 is 1561218.

LCM(734/86, 8508/472) = 1561218

LCM of 734/86, 8508/472

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 734/86,8508/472

Given numbers are 734/86,8508/472

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 734,8508

Least Common Multiple of Numerators i.e. LCM of 734,8508 is 3122436.

GCF of Denominators means GCF of 86,472 as per the given fractions.

GCF of 86,472 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,8508

LCM of Fractions 734/86,8508/472 is 1561218

2 734, 8508
367, 4254

∴ So the LCM of the given numbers is 2 x 367 x 4254 = 3122436

Least Common Multiple of 734,8508 with GCF Formula

Least Common Multiple of 734,8508 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 734,8508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,8508) = 2

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

GCF(734,8508) x common factors =2 x 1 = 2

LCM(734,8508) = ( 734 × 8508 ) / 2

LCM(734,8508) = 6244872 / 2

LCM(734,8508) = 3122436


Lets's calculate GCF of 86,472

2 86, 472
43, 236

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3122436/2

Therefore the LCM of Fractions 734/86,8508/472 is 1561218

Greatest Common Factor of 86,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,472 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 86,472 . The biggest common factor number is the GCF number.
So the greatest common factor 86,472 is 2.


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Frequently Asked Questions on Fractional LCM of 734/86, 8508/472

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 734/86, 8508/472?

Answer: LCM of Numerators as per given numbers 734/86, 8508/472 is

LCM of Numerators i.e. for 734,8508 is 3122436

GCF of denominators i.e. for 86,472 is 2.

Thus, LCM of Fractions is 1561218.Finally, LCM of Fractions for 734/86, 8508/472 is 1561218.