Least Common Multiple of 48/587, 657/274, 761/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/587, 657/274, 761/984 quickly i.e. 7999632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/587, 657/274, 761/984 is 7999632.

LCM(48/587, 657/274, 761/984) = 7999632

LCM of 48/587, 657/274, 761/984

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 48/587,657/274,761/984

Given numbers are 48/587,657/274,761/984

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 48,657,761

Least Common Multiple of Numerators i.e. LCM of 48,657,761 is 7999632.

GCF of Denominators means GCF of 587,274,984 as per the given fractions.

GCF of 587,274,984 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,657,761

LCM of Fractions 48/587,657/274,761/984 is 7999632

3 48, 657, 761
16, 219, 761

∴ So the LCM of the given numbers is 3 x 16 x 219 x 761 = 7999632

Least Common Multiple of 48,657,761 with GCF Formula

Least Common Multiple of 48,657,761 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 48,657,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,657,761) = 1

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

GCF(48,657,761) x common factors =1 x 3 = 3

LCM(48,657,761) = ( 48 × 657 × 761 ) / 3

LCM(48,657,761) = 23998896 / 3

LCM(48,657,761) = 7999632


Lets's calculate GCF of 587,274,984

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7999632/1

Therefore the LCM of Fractions 48/587,657/274,761/984 is 7999632

Greatest Common Factor of 587,274,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 587,274,984 By Matching Biggest Common Factor Method

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

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 587,274,984 . The biggest common factor number is the GCF number.
So the greatest common factor 587,274,984 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 48/587, 657/274, 761/984

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 48/587, 657/274, 761/984?

Answer: LCM of Numerators as per given numbers 48/587, 657/274, 761/984 is

LCM of Numerators i.e. for 48,657,761 is 7999632

GCF of denominators i.e. for 587,274,984 is 1.

Thus, LCM of Fractions is 7999632.Finally, LCM of Fractions for 48/587, 657/274, 761/984 is 7999632.