Least Common Multiple of 69/119, 45/807, 880/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/119, 45/807, 880/362 quickly i.e. 182160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/119, 45/807, 880/362 is 182160.

LCM(69/119, 45/807, 880/362) = 182160

LCM of 69/119, 45/807, 880/362

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 69/119,45/807,880/362

Given numbers are 69/119,45/807,880/362

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 69,45,880

Least Common Multiple of Numerators i.e. LCM of 69,45,880 is 182160.

GCF of Denominators means GCF of 119,807,362 as per the given fractions.

GCF of 119,807,362 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,45,880

LCM of Fractions 69/119,45/807,880/362 is 182160

3 69, 45, 880
5 23, 15, 880
23, 3, 176

∴ So the LCM of the given numbers is 3 x 5 x 23 x 3 x 176 = 182160

Least Common Multiple of 69,45,880 with GCF Formula

Least Common Multiple of 69,45,880 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 69,45,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,45,880) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(69,45,880) x common factors =1 x 15 = 15

LCM(69,45,880) = ( 69 × 45 × 880 ) / 15

LCM(69,45,880) = 2732400 / 15

LCM(69,45,880) = 182160


Lets's calculate GCF of 119,807,362

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182160/1

Therefore the LCM of Fractions 69/119,45/807,880/362 is 182160

Greatest Common Factor of 119,807,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,807,362 By Matching Biggest Common Factor Method

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors 119,807,362 . The biggest common factor number is the GCF number.
So the greatest common factor 119,807,362 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 69/119, 45/807, 880/362

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 69/119, 45/807, 880/362?

Answer: LCM of Numerators as per given numbers 69/119, 45/807, 880/362 is

LCM of Numerators i.e. for 69,45,880 is 182160

GCF of denominators i.e. for 119,807,362 is 1.

Thus, LCM of Fractions is 182160.Finally, LCM of Fractions for 69/119, 45/807, 880/362 is 182160.