Least Common Multiple of 736/75, 918/31, 435/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 736/75, 918/31, 435/438 quickly i.e. 48984480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/75, 918/31, 435/438 is 48984480.

LCM(736/75, 918/31, 435/438) = 48984480

LCM of 736/75, 918/31, 435/438

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 736/75,918/31,435/438

Given numbers are 736/75,918/31,435/438

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 736,918,435

Least Common Multiple of Numerators i.e. LCM of 736,918,435 is 48984480.

GCF of Denominators means GCF of 75,31,438 as per the given fractions.

GCF of 75,31,438 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,918,435

LCM of Fractions 736/75,918/31,435/438 is 48984480

2 736, 918, 435
3 368, 459, 435
368, 153, 145

∴ So the LCM of the given numbers is 2 x 3 x 368 x 153 x 145 = 48984480

Least Common Multiple of 736,918,435 with GCF Formula

Least Common Multiple of 736,918,435 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 736,918,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,918,435) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(736,918,435) x common factors =1 x 6 = 6

LCM(736,918,435) = ( 736 × 918 × 435 ) / 6

LCM(736,918,435) = 293906880 / 6

LCM(736,918,435) = 48984480


Lets's calculate GCF of 75,31,438

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48984480/1

Therefore the LCM of Fractions 736/75,918/31,435/438 is 48984480

Greatest Common Factor of 75,31,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,31,438 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 75,31,438 . The biggest common factor number is the GCF number.
So the greatest common factor 75,31,438 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 736/75, 918/31, 435/438

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 736/75, 918/31, 435/438?

Answer: LCM of Numerators as per given numbers 736/75, 918/31, 435/438 is

LCM of Numerators i.e. for 736,918,435 is 48984480

GCF of denominators i.e. for 75,31,438 is 1.

Thus, LCM of Fractions is 48984480.Finally, LCM of Fractions for 736/75, 918/31, 435/438 is 48984480.