Least Common Multiple of 87/639, 34/748, 989/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/639, 34/748, 989/440 quickly i.e. 2925462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/639, 34/748, 989/440 is 2925462.

LCM(87/639, 34/748, 989/440) = 2925462

LCM of 87/639, 34/748, 989/440

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 87/639,34/748,989/440

Given numbers are 87/639,34/748,989/440

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 87,34,989

Least Common Multiple of Numerators i.e. LCM of 87,34,989 is 2925462.

GCF of Denominators means GCF of 639,748,440 as per the given fractions.

GCF of 639,748,440 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,34,989

LCM of Fractions 87/639,34/748,989/440 is 2925462

Given numbers has no common factors except 1. So, there LCM is their product i.e 2925462

Least Common Multiple of 87,34,989 with GCF Formula

Least Common Multiple of 87,34,989 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 87,34,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,34,989) = 1

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

GCF(87,34,989) x common factors =1 x 1 = 1

LCM(87,34,989) = ( 87 × 34 × 989 ) / 1

LCM(87,34,989) = 2925462 / 1

LCM(87,34,989) = 2925462


Lets's calculate GCF of 639,748,440

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2925462/1

Therefore the LCM of Fractions 87/639,34/748,989/440 is 2925462

Greatest Common Factor of 639,748,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 639,748,440 By Matching Biggest Common Factor Method

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 639,748,440 . The biggest common factor number is the GCF number.
So the greatest common factor 639,748,440 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 87/639, 34/748, 989/440

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 87/639, 34/748, 989/440?

Answer: LCM of Numerators as per given numbers 87/639, 34/748, 989/440 is

LCM of Numerators i.e. for 87,34,989 is 2925462

GCF of denominators i.e. for 639,748,440 is 1.

Thus, LCM of Fractions is 2925462.Finally, LCM of Fractions for 87/639, 34/748, 989/440 is 2925462.