Least Common Multiple of 880/110, 945/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 880/110, 945/170 quickly i.e. 16632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 880/110, 945/170 is 16632.

LCM(880/110, 945/170) = 16632

LCM of 880/110, 945/170

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 880/110,945/170

Given numbers are 880/110,945/170

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 880,945

Least Common Multiple of Numerators i.e. LCM of 880,945 is 166320.

GCF of Denominators means GCF of 110,170 as per the given fractions.

GCF of 110,170 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 880,945

LCM of Fractions 880/110,945/170 is 16632

5 880, 945
176, 189

∴ So the LCM of the given numbers is 5 x 176 x 189 = 166320

Least Common Multiple of 880,945 with GCF Formula

Least Common Multiple of 880,945 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 880,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(880,945) = 5

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

GCF(880,945) x common factors =5 x 1 = 5

LCM(880,945) = ( 880 × 945 ) / 5

LCM(880,945) = 831600 / 5

LCM(880,945) = 166320


Lets's calculate GCF of 110,170

2 110, 170
5 55, 85
11, 17

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166320/10

Therefore the LCM of Fractions 880/110,945/170 is 16632

Greatest Common Factor of 110,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,170 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 170

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

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

Greatest Common Factor

We found the factors 110,170 . The biggest common factor number is the GCF number.
So the greatest common factor 110,170 is 10.


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 880/110, 945/170

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 880/110, 945/170?

Answer: LCM of Numerators as per given numbers 880/110, 945/170 is

LCM of Numerators i.e. for 880,945 is 166320

GCF of denominators i.e. for 110,170 is 10.

Thus, LCM of Fractions is 16632.Finally, LCM of Fractions for 880/110, 945/170 is 16632.