Least Common Multiple of 9434/987, 8834/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9434/987, 8834/705 quickly i.e. 41669978/141 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9434/987, 8834/705 is 41669978/141.

LCM(9434/987, 8834/705) = 41669978/141

LCM of 9434/987, 8834/705

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 9434/987,8834/705

Given numbers are 9434/987,8834/705

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 9434,8834

Least Common Multiple of Numerators i.e. LCM of 9434,8834 is 41669978.

GCF of Denominators means GCF of 987,705 as per the given fractions.

GCF of 987,705 is 141 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9434,8834

LCM of Fractions 9434/987,8834/705 is 41669978/141

2 9434, 8834
4717, 4417

∴ So the LCM of the given numbers is 2 x 4717 x 4417 = 41669978

Least Common Multiple of 9434,8834 with GCF Formula

Least Common Multiple of 9434,8834 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 9434,8834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9434,8834) = 2

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

GCF(9434,8834) x common factors =2 x 1 = 2

LCM(9434,8834) = ( 9434 × 8834 ) / 2

LCM(9434,8834) = 83339956 / 2

LCM(9434,8834) = 41669978


Lets's calculate GCF of 987,705

3 987, 705
47 329, 235
7, 5

∴ So the GCF of the given numbers is 3 x 47 = 141

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41669978/141

Therefore the LCM of Fractions 9434/987,8834/705 is 41669978/141

Greatest Common Factor of 987,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,705 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 987,705 . The biggest common factor number is the GCF number.
So the greatest common factor 987,705 is 141.


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 9434/987, 8834/705

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 9434/987, 8834/705?

Answer: LCM of Numerators as per given numbers 9434/987, 8834/705 is

LCM of Numerators i.e. for 9434,8834 is 41669978

GCF of denominators i.e. for 987,705 is 141.

Thus, LCM of Fractions is 41669978/141.Finally, LCM of Fractions for 9434/987, 8834/705 is 41669978/141.