Least Common Multiple of 77/883, 71/838, 434/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/883, 71/838, 434/642 quickly i.e. 338954 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/883, 71/838, 434/642 is 338954.

LCM(77/883, 71/838, 434/642) = 338954

LCM of 77/883, 71/838, 434/642

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 77/883,71/838,434/642

Given numbers are 77/883,71/838,434/642

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 77,71,434

Least Common Multiple of Numerators i.e. LCM of 77,71,434 is 338954.

GCF of Denominators means GCF of 883,838,642 as per the given fractions.

GCF of 883,838,642 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,71,434

LCM of Fractions 77/883,71/838,434/642 is 338954

7 77, 71, 434
11, 71, 62

∴ So the LCM of the given numbers is 7 x 11 x 71 x 62 = 338954

Least Common Multiple of 77,71,434 with GCF Formula

Least Common Multiple of 77,71,434 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 77,71,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,71,434) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,71,434) x common factors =1 x 7 = 7

LCM(77,71,434) = ( 77 × 71 × 434 ) / 7

LCM(77,71,434) = 2372678 / 7

LCM(77,71,434) = 338954


Lets's calculate GCF of 883,838,642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338954/1

Therefore the LCM of Fractions 77/883,71/838,434/642 is 338954

Greatest Common Factor of 883,838,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 883,838,642 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 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 883,838,642 . The biggest common factor number is the GCF number.
So the greatest common factor 883,838,642 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 77/883, 71/838, 434/642

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 77/883, 71/838, 434/642?

Answer: LCM of Numerators as per given numbers 77/883, 71/838, 434/642 is

LCM of Numerators i.e. for 77,71,434 is 338954

GCF of denominators i.e. for 883,838,642 is 1.

Thus, LCM of Fractions is 338954.Finally, LCM of Fractions for 77/883, 71/838, 434/642 is 338954.