Least Common Multiple of 916/170, 1174/8789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 916/170, 1174/8789 quickly i.e. 537692/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 916/170, 1174/8789 is 537692/17.

LCM(916/170, 1174/8789) = 537692/17

LCM of 916/170, 1174/8789

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 916/170,1174/8789

Given numbers are 916/170,1174/8789

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 916,1174

Least Common Multiple of Numerators i.e. LCM of 916,1174 is 537692.

GCF of Denominators means GCF of 170,8789 as per the given fractions.

GCF of 170,8789 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 916,1174

LCM of Fractions 916/170,1174/8789 is 537692/17

2 916, 1174
458, 587

∴ So the LCM of the given numbers is 2 x 458 x 587 = 537692

Least Common Multiple of 916,1174 with GCF Formula

Least Common Multiple of 916,1174 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 916,1174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,1174) = 2

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

GCF(916,1174) x common factors =2 x 1 = 2

LCM(916,1174) = ( 916 × 1174 ) / 2

LCM(916,1174) = 1075384 / 2

LCM(916,1174) = 537692


Lets's calculate GCF of 170,8789

17 170, 8789
10, 517

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 537692/17

Therefore the LCM of Fractions 916/170,1174/8789 is 537692/17

Greatest Common Factor of 170,8789 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,8789 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 8789

List of positive integer factors of 8789 that divides 8789 without a remainder.

1,11,17,47,187,517,799,8789

Greatest Common Factor

We found the factors 170,8789 . The biggest common factor number is the GCF number.
So the greatest common factor 170,8789 is 17.


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 916/170, 1174/8789

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 916/170, 1174/8789?

Answer: LCM of Numerators as per given numbers 916/170, 1174/8789 is

LCM of Numerators i.e. for 916,1174 is 537692

GCF of denominators i.e. for 170,8789 is 17.

Thus, LCM of Fractions is 537692/17.Finally, LCM of Fractions for 916/170, 1174/8789 is 537692/17.