Least Common Multiple of 734/975, 4164/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/975, 4164/855 quickly i.e. 1528188/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/975, 4164/855 is 1528188/15.

LCM(734/975, 4164/855) = 1528188/15

LCM of 734/975, 4164/855

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 734/975,4164/855

Given numbers are 734/975,4164/855

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 734,4164

Least Common Multiple of Numerators i.e. LCM of 734,4164 is 1528188.

GCF of Denominators means GCF of 975,855 as per the given fractions.

GCF of 975,855 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,4164

LCM of Fractions 734/975,4164/855 is 1528188/15

2 734, 4164
367, 2082

∴ So the LCM of the given numbers is 2 x 367 x 2082 = 1528188

Least Common Multiple of 734,4164 with GCF Formula

Least Common Multiple of 734,4164 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 734,4164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,4164) = 2

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

GCF(734,4164) x common factors =2 x 1 = 2

LCM(734,4164) = ( 734 × 4164 ) / 2

LCM(734,4164) = 3056376 / 2

LCM(734,4164) = 1528188


Lets's calculate GCF of 975,855

3 975, 855
5 325, 285
65, 57

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1528188/15

Therefore the LCM of Fractions 734/975,4164/855 is 1528188/15

Greatest Common Factor of 975,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,855 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 975,855 . The biggest common factor number is the GCF number.
So the greatest common factor 975,855 is 15.


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 734/975, 4164/855

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 734/975, 4164/855?

Answer: LCM of Numerators as per given numbers 734/975, 4164/855 is

LCM of Numerators i.e. for 734,4164 is 1528188

GCF of denominators i.e. for 975,855 is 15.

Thus, LCM of Fractions is 1528188/15.Finally, LCM of Fractions for 734/975, 4164/855 is 1528188/15.