Least Common Multiple of 248/891, 509/799, 645/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 248/891, 509/799, 645/984 quickly i.e. 81419640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 248/891, 509/799, 645/984 is 81419640.

LCM(248/891, 509/799, 645/984) = 81419640

LCM of 248/891, 509/799, 645/984

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 248/891,509/799,645/984

Given numbers are 248/891,509/799,645/984

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 248,509,645

Least Common Multiple of Numerators i.e. LCM of 248,509,645 is 81419640.

GCF of Denominators means GCF of 891,799,984 as per the given fractions.

GCF of 891,799,984 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 248,509,645

LCM of Fractions 248/891,509/799,645/984 is 81419640

Given numbers has no common factors except 1. So, there LCM is their product i.e 81419640

Least Common Multiple of 248,509,645 with GCF Formula

Least Common Multiple of 248,509,645 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 248,509,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,509,645) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(248,509,645) x common factors =1 x 1 = 1

LCM(248,509,645) = ( 248 × 509 × 645 ) / 1

LCM(248,509,645) = 81419640 / 1

LCM(248,509,645) = 81419640


Lets's calculate GCF of 891,799,984

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81419640/1

Therefore the LCM of Fractions 248/891,509/799,645/984 is 81419640

Greatest Common Factor of 891,799,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,799,984 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 891,799,984 . The biggest common factor number is the GCF number.
So the greatest common factor 891,799,984 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 248/891, 509/799, 645/984

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 248/891, 509/799, 645/984?

Answer: LCM of Numerators as per given numbers 248/891, 509/799, 645/984 is

LCM of Numerators i.e. for 248,509,645 is 81419640

GCF of denominators i.e. for 891,799,984 is 1.

Thus, LCM of Fractions is 81419640.Finally, LCM of Fractions for 248/891, 509/799, 645/984 is 81419640.