Least Common Multiple of 734/55, 748/36, 800/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/55, 748/36, 800/777 quickly i.e. 54903200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/55, 748/36, 800/777 is 54903200.

LCM(734/55, 748/36, 800/777) = 54903200

LCM of 734/55, 748/36, 800/777

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 734/55,748/36,800/777

Given numbers are 734/55,748/36,800/777

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 734,748,800

Least Common Multiple of Numerators i.e. LCM of 734,748,800 is 54903200.

GCF of Denominators means GCF of 55,36,777 as per the given fractions.

GCF of 55,36,777 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,748,800

LCM of Fractions 734/55,748/36,800/777 is 54903200

2 734, 748, 800
2 367, 374, 400
367, 187, 200

∴ So the LCM of the given numbers is 2 x 2 x 367 x 187 x 200 = 54903200

Least Common Multiple of 734,748,800 with GCF Formula

Least Common Multiple of 734,748,800 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 734,748,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,748,800) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(734,748,800) x common factors =2 x 4 = 8

LCM(734,748,800) = ( 734 × 748 × 800 ) / 8

LCM(734,748,800) = 439225600 / 8

LCM(734,748,800) = 54903200


Lets's calculate GCF of 55,36,777

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54903200/1

Therefore the LCM of Fractions 734/55,748/36,800/777 is 54903200

Greatest Common Factor of 55,36,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,36,777 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 55,36,777 . The biggest common factor number is the GCF number.
So the greatest common factor 55,36,777 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 734/55, 748/36, 800/777

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 734/55, 748/36, 800/777?

Answer: LCM of Numerators as per given numbers 734/55, 748/36, 800/777 is

LCM of Numerators i.e. for 734,748,800 is 54903200

GCF of denominators i.e. for 55,36,777 is 1.

Thus, LCM of Fractions is 54903200.Finally, LCM of Fractions for 734/55, 748/36, 800/777 is 54903200.