Least Common Multiple of 627/865, 434/734, 308/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 627/865, 434/734, 308/843 quickly i.e. 544236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 627/865, 434/734, 308/843 is 544236.

LCM(627/865, 434/734, 308/843) = 544236

LCM of 627/865, 434/734, 308/843

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 627/865,434/734,308/843

Given numbers are 627/865,434/734,308/843

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 627,434,308

Least Common Multiple of Numerators i.e. LCM of 627,434,308 is 544236.

GCF of Denominators means GCF of 865,734,843 as per the given fractions.

GCF of 865,734,843 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 627,434,308

LCM of Fractions 627/865,434/734,308/843 is 544236

2 627, 434, 308
7 627, 217, 154
11 627, 31, 22
57, 31, 2

∴ So the LCM of the given numbers is 2 x 7 x 11 x 57 x 31 x 2 = 544236

Least Common Multiple of 627,434,308 with GCF Formula

Least Common Multiple of 627,434,308 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 627,434,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,434,308) = 1

common factors(in case of two or more numbers have common factors) = 154

GCF(627,434,308) x common factors =1 x 154 = 154

LCM(627,434,308) = ( 627 × 434 × 308 ) / 154

LCM(627,434,308) = 83812344 / 154

LCM(627,434,308) = 544236


Lets's calculate GCF of 865,734,843

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 544236/1

Therefore the LCM of Fractions 627/865,434/734,308/843 is 544236

Greatest Common Factor of 865,734,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,734,843 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 734

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

1,2,367,734

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 865,734,843 . The biggest common factor number is the GCF number.
So the greatest common factor 865,734,843 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 627/865, 434/734, 308/843

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 627/865, 434/734, 308/843?

Answer: LCM of Numerators as per given numbers 627/865, 434/734, 308/843 is

LCM of Numerators i.e. for 627,434,308 is 544236

GCF of denominators i.e. for 865,734,843 is 1.

Thus, LCM of Fractions is 544236.Finally, LCM of Fractions for 627/865, 434/734, 308/843 is 544236.