Least Common Multiple of 659/78, 869/14, 269/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 659/78, 869/14, 269/560 quickly i.e. 154048499/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 659/78, 869/14, 269/560 is 154048499/2.

LCM(659/78, 869/14, 269/560) = 154048499/2

LCM of 659/78, 869/14, 269/560

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 659/78,869/14,269/560

Given numbers are 659/78,869/14,269/560

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 659,869,269

Least Common Multiple of Numerators i.e. LCM of 659,869,269 is 154048499.

GCF of Denominators means GCF of 78,14,560 as per the given fractions.

GCF of 78,14,560 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 659,869,269

LCM of Fractions 659/78,869/14,269/560 is 154048499/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 154048499

Least Common Multiple of 659,869,269 with GCF Formula

Least Common Multiple of 659,869,269 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 659,869,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,869,269) = 1

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

GCF(659,869,269) x common factors =1 x 1 = 1

LCM(659,869,269) = ( 659 × 869 × 269 ) / 1

LCM(659,869,269) = 154048499 / 1

LCM(659,869,269) = 154048499


Lets's calculate GCF of 78,14,560

2 78, 14, 560
39, 7, 280

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154048499/2

Therefore the LCM of Fractions 659/78,869/14,269/560 is 154048499/2

Greatest Common Factor of 78,14,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,14,560 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 78,14,560 . The biggest common factor number is the GCF number.
So the greatest common factor 78,14,560 is 2.


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 659/78, 869/14, 269/560

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 659/78, 869/14, 269/560?

Answer: LCM of Numerators as per given numbers 659/78, 869/14, 269/560 is

LCM of Numerators i.e. for 659,869,269 is 154048499

GCF of denominators i.e. for 78,14,560 is 2.

Thus, LCM of Fractions is 154048499/2.Finally, LCM of Fractions for 659/78, 869/14, 269/560 is 154048499/2.