Least Common Multiple of 434/883, 872/611, 338/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 434/883, 872/611, 338/312 quickly i.e. 31978856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 434/883, 872/611, 338/312 is 31978856.

LCM(434/883, 872/611, 338/312) = 31978856

LCM of 434/883, 872/611, 338/312

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 434/883,872/611,338/312

Given numbers are 434/883,872/611,338/312

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 434,872,338

Least Common Multiple of Numerators i.e. LCM of 434,872,338 is 31978856.

GCF of Denominators means GCF of 883,611,312 as per the given fractions.

GCF of 883,611,312 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 434,872,338

LCM of Fractions 434/883,872/611,338/312 is 31978856

2 434, 872, 338
217, 436, 169

∴ So the LCM of the given numbers is 2 x 217 x 436 x 169 = 31978856

Least Common Multiple of 434,872,338 with GCF Formula

Least Common Multiple of 434,872,338 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 434,872,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,872,338) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(434,872,338) x common factors =2 x 2 = 4

LCM(434,872,338) = ( 434 × 872 × 338 ) / 4

LCM(434,872,338) = 127915424 / 4

LCM(434,872,338) = 31978856


Lets's calculate GCF of 883,611,312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31978856/1

Therefore the LCM of Fractions 434/883,872/611,338/312 is 31978856

Greatest Common Factor of 883,611,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 883,611,312 By Matching Biggest Common Factor Method

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 883,611,312 . The biggest common factor number is the GCF number.
So the greatest common factor 883,611,312 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 434/883, 872/611, 338/312

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 434/883, 872/611, 338/312?

Answer: LCM of Numerators as per given numbers 434/883, 872/611, 338/312 is

LCM of Numerators i.e. for 434,872,338 is 31978856

GCF of denominators i.e. for 883,611,312 is 1.

Thus, LCM of Fractions is 31978856.Finally, LCM of Fractions for 434/883, 872/611, 338/312 is 31978856.