Least Common Multiple of 1558/734, 7754/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1558/734, 7754/465 quickly i.e. 6040366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1558/734, 7754/465 is 6040366.

LCM(1558/734, 7754/465) = 6040366

LCM of 1558/734, 7754/465

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 1558/734,7754/465

Given numbers are 1558/734,7754/465

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 1558,7754

Least Common Multiple of Numerators i.e. LCM of 1558,7754 is 6040366.

GCF of Denominators means GCF of 734,465 as per the given fractions.

GCF of 734,465 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1558,7754

LCM of Fractions 1558/734,7754/465 is 6040366

2 1558, 7754
779, 3877

∴ So the LCM of the given numbers is 2 x 779 x 3877 = 6040366

Least Common Multiple of 1558,7754 with GCF Formula

Least Common Multiple of 1558,7754 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 1558,7754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1558,7754) = 2

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

GCF(1558,7754) x common factors =2 x 1 = 2

LCM(1558,7754) = ( 1558 × 7754 ) / 2

LCM(1558,7754) = 12080732 / 2

LCM(1558,7754) = 6040366


Lets's calculate GCF of 734,465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6040366/1

Therefore the LCM of Fractions 1558/734,7754/465 is 6040366

Greatest Common Factor of 734,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,465 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 734,465 . The biggest common factor number is the GCF number.
So the greatest common factor 734,465 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 1558/734, 7754/465

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 1558/734, 7754/465?

Answer: LCM of Numerators as per given numbers 1558/734, 7754/465 is

LCM of Numerators i.e. for 1558,7754 is 6040366

GCF of denominators i.e. for 734,465 is 1.

Thus, LCM of Fractions is 6040366.Finally, LCM of Fractions for 1558/734, 7754/465 is 6040366.