Least Common Multiple of 987/946, 188/582, 365/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 987/946, 188/582, 365/295 quickly i.e. 1441020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 987/946, 188/582, 365/295 is 1441020.

LCM(987/946, 188/582, 365/295) = 1441020

LCM of 987/946, 188/582, 365/295

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 987/946,188/582,365/295

Given numbers are 987/946,188/582,365/295

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 987,188,365

Least Common Multiple of Numerators i.e. LCM of 987,188,365 is 1441020.

GCF of Denominators means GCF of 946,582,295 as per the given fractions.

GCF of 946,582,295 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 987,188,365

LCM of Fractions 987/946,188/582,365/295 is 1441020

47 987, 188, 365
21, 4, 365

∴ So the LCM of the given numbers is 47 x 21 x 4 x 365 = 1441020

Least Common Multiple of 987,188,365 with GCF Formula

Least Common Multiple of 987,188,365 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 987,188,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,188,365) = 1

common factors(in case of two or more numbers have common factors) = 47

GCF(987,188,365) x common factors =1 x 47 = 47

LCM(987,188,365) = ( 987 × 188 × 365 ) / 47

LCM(987,188,365) = 67727940 / 47

LCM(987,188,365) = 1441020


Lets's calculate GCF of 946,582,295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1441020/1

Therefore the LCM of Fractions 987/946,188/582,365/295 is 1441020

Greatest Common Factor of 946,582,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,582,295 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 946,582,295 . The biggest common factor number is the GCF number.
So the greatest common factor 946,582,295 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 987/946, 188/582, 365/295

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 987/946, 188/582, 365/295?

Answer: LCM of Numerators as per given numbers 987/946, 188/582, 365/295 is

LCM of Numerators i.e. for 987,188,365 is 1441020

GCF of denominators i.e. for 946,582,295 is 1.

Thus, LCM of Fractions is 1441020.Finally, LCM of Fractions for 987/946, 188/582, 365/295 is 1441020.