Least Common Multiple of 577/340, 549/735, 834/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 577/340, 549/735, 834/983 quickly i.e. 88062894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 577/340, 549/735, 834/983 is 88062894.

LCM(577/340, 549/735, 834/983) = 88062894

LCM of 577/340, 549/735, 834/983

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 577/340,549/735,834/983

Given numbers are 577/340,549/735,834/983

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 577,549,834

Least Common Multiple of Numerators i.e. LCM of 577,549,834 is 88062894.

GCF of Denominators means GCF of 340,735,983 as per the given fractions.

GCF of 340,735,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 577,549,834

LCM of Fractions 577/340,549/735,834/983 is 88062894

3 577, 549, 834
577, 183, 278

∴ So the LCM of the given numbers is 3 x 577 x 183 x 278 = 88062894

Least Common Multiple of 577,549,834 with GCF Formula

Least Common Multiple of 577,549,834 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 577,549,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,549,834) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(577,549,834) x common factors =1 x 3 = 3

LCM(577,549,834) = ( 577 × 549 × 834 ) / 3

LCM(577,549,834) = 264188682 / 3

LCM(577,549,834) = 88062894


Lets's calculate GCF of 340,735,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88062894/1

Therefore the LCM of Fractions 577/340,549/735,834/983 is 88062894

Greatest Common Factor of 340,735,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,735,983 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 340,735,983 . The biggest common factor number is the GCF number.
So the greatest common factor 340,735,983 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 577/340, 549/735, 834/983

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 577/340, 549/735, 834/983?

Answer: LCM of Numerators as per given numbers 577/340, 549/735, 834/983 is

LCM of Numerators i.e. for 577,549,834 is 88062894

GCF of denominators i.e. for 340,735,983 is 1.

Thus, LCM of Fractions is 88062894.Finally, LCM of Fractions for 577/340, 549/735, 834/983 is 88062894.