Least Common Multiple of 34/711, 793/236, 582/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/711, 793/236, 582/844 quickly i.e. 7845942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/711, 793/236, 582/844 is 7845942.

LCM(34/711, 793/236, 582/844) = 7845942

LCM of 34/711, 793/236, 582/844

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 34/711,793/236,582/844

Given numbers are 34/711,793/236,582/844

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 34,793,582

Least Common Multiple of Numerators i.e. LCM of 34,793,582 is 7845942.

GCF of Denominators means GCF of 711,236,844 as per the given fractions.

GCF of 711,236,844 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,793,582

LCM of Fractions 34/711,793/236,582/844 is 7845942

2 34, 793, 582
17, 793, 291

∴ So the LCM of the given numbers is 2 x 17 x 793 x 291 = 7845942

Least Common Multiple of 34,793,582 with GCF Formula

Least Common Multiple of 34,793,582 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 34,793,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,793,582) = 1

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

GCF(34,793,582) x common factors =1 x 2 = 2

LCM(34,793,582) = ( 34 × 793 × 582 ) / 2

LCM(34,793,582) = 15691884 / 2

LCM(34,793,582) = 7845942


Lets's calculate GCF of 711,236,844

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7845942/1

Therefore the LCM of Fractions 34/711,793/236,582/844 is 7845942

Greatest Common Factor of 711,236,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,236,844 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 711,236,844 . The biggest common factor number is the GCF number.
So the greatest common factor 711,236,844 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 34/711, 793/236, 582/844

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 34/711, 793/236, 582/844?

Answer: LCM of Numerators as per given numbers 34/711, 793/236, 582/844 is

LCM of Numerators i.e. for 34,793,582 is 7845942

GCF of denominators i.e. for 711,236,844 is 1.

Thus, LCM of Fractions is 7845942.Finally, LCM of Fractions for 34/711, 793/236, 582/844 is 7845942.