Least Common Multiple of 600/696, 1799/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/696, 1799/160 quickly i.e. 134925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/696, 1799/160 is 134925.

LCM(600/696, 1799/160) = 134925

LCM of 600/696, 1799/160

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 600/696,1799/160

Given numbers are 600/696,1799/160

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 600,1799

Least Common Multiple of Numerators i.e. LCM of 600,1799 is 1079400.

GCF of Denominators means GCF of 696,160 as per the given fractions.

GCF of 696,160 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,1799

LCM of Fractions 600/696,1799/160 is 134925

Given numbers has no common factors except 1. So, there LCM is their product i.e 1079400

Least Common Multiple of 600,1799 with GCF Formula

Least Common Multiple of 600,1799 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 600,1799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,1799) = 1

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

GCF(600,1799) x common factors =1 x 1 = 1

LCM(600,1799) = ( 600 × 1799 ) / 1

LCM(600,1799) = 1079400 / 1

LCM(600,1799) = 1079400


Lets's calculate GCF of 696,160

2 696, 160
2 348, 80
2 174, 40
87, 20

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1079400/8

Therefore the LCM of Fractions 600/696,1799/160 is 134925

Greatest Common Factor of 696,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,160 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 696,160 . The biggest common factor number is the GCF number.
So the greatest common factor 696,160 is 8.


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 600/696, 1799/160

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 600/696, 1799/160?

Answer: LCM of Numerators as per given numbers 600/696, 1799/160 is

LCM of Numerators i.e. for 600,1799 is 1079400

GCF of denominators i.e. for 696,160 is 8.

Thus, LCM of Fractions is 134925.Finally, LCM of Fractions for 600/696, 1799/160 is 134925.