Least Common Multiple of 977/590, 836/279, 788/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 977/590, 836/279, 788/290 quickly i.e. 160904084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 977/590, 836/279, 788/290 is 160904084.

LCM(977/590, 836/279, 788/290) = 160904084

LCM of 977/590, 836/279, 788/290

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 977/590,836/279,788/290

Given numbers are 977/590,836/279,788/290

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 977,836,788

Least Common Multiple of Numerators i.e. LCM of 977,836,788 is 160904084.

GCF of Denominators means GCF of 590,279,290 as per the given fractions.

GCF of 590,279,290 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 977,836,788

LCM of Fractions 977/590,836/279,788/290 is 160904084

2 977, 836, 788
2 977, 418, 394
977, 209, 197

∴ So the LCM of the given numbers is 2 x 2 x 977 x 209 x 197 = 160904084

Least Common Multiple of 977,836,788 with GCF Formula

Least Common Multiple of 977,836,788 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 977,836,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,836,788) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(977,836,788) x common factors =1 x 4 = 4

LCM(977,836,788) = ( 977 × 836 × 788 ) / 4

LCM(977,836,788) = 643616336 / 4

LCM(977,836,788) = 160904084


Lets's calculate GCF of 590,279,290

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160904084/1

Therefore the LCM of Fractions 977/590,836/279,788/290 is 160904084

Greatest Common Factor of 590,279,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,279,290 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 590,279,290 . The biggest common factor number is the GCF number.
So the greatest common factor 590,279,290 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 977/590, 836/279, 788/290

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 977/590, 836/279, 788/290?

Answer: LCM of Numerators as per given numbers 977/590, 836/279, 788/290 is

LCM of Numerators i.e. for 977,836,788 is 160904084

GCF of denominators i.e. for 590,279,290 is 1.

Thus, LCM of Fractions is 160904084.Finally, LCM of Fractions for 977/590, 836/279, 788/290 is 160904084.