Least Common Multiple of 3410/96, 3414/893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3410/96, 3414/893 quickly i.e. 5820870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3410/96, 3414/893 is 5820870.

LCM(3410/96, 3414/893) = 5820870

LCM of 3410/96, 3414/893

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 3410/96,3414/893

Given numbers are 3410/96,3414/893

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 3410,3414

Least Common Multiple of Numerators i.e. LCM of 3410,3414 is 5820870.

GCF of Denominators means GCF of 96,893 as per the given fractions.

GCF of 96,893 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3410,3414

LCM of Fractions 3410/96,3414/893 is 5820870

2 3410, 3414
1705, 1707

∴ So the LCM of the given numbers is 2 x 1705 x 1707 = 5820870

Least Common Multiple of 3410,3414 with GCF Formula

Least Common Multiple of 3410,3414 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 3410,3414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3410,3414) = 2

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

GCF(3410,3414) x common factors =2 x 1 = 2

LCM(3410,3414) = ( 3410 × 3414 ) / 2

LCM(3410,3414) = 11641740 / 2

LCM(3410,3414) = 5820870


Lets's calculate GCF of 96,893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5820870/1

Therefore the LCM of Fractions 3410/96,3414/893 is 5820870

Greatest Common Factor of 96,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,893 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 96,893 . The biggest common factor number is the GCF number.
So the greatest common factor 96,893 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3410/96, 3414/893

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 3410/96, 3414/893?

Answer: LCM of Numerators as per given numbers 3410/96, 3414/893 is

LCM of Numerators i.e. for 3410,3414 is 5820870

GCF of denominators i.e. for 96,893 is 1.

Thus, LCM of Fractions is 5820870.Finally, LCM of Fractions for 3410/96, 3414/893 is 5820870.