Least Common Multiple of 1696/578, 2175/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1696/578, 2175/620 quickly i.e. 1844400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1696/578, 2175/620 is 1844400.

LCM(1696/578, 2175/620) = 1844400

LCM of 1696/578, 2175/620

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 1696/578,2175/620

Given numbers are 1696/578,2175/620

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 1696,2175

Least Common Multiple of Numerators i.e. LCM of 1696,2175 is 3688800.

GCF of Denominators means GCF of 578,620 as per the given fractions.

GCF of 578,620 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1696,2175

LCM of Fractions 1696/578,2175/620 is 1844400

Given numbers has no common factors except 1. So, there LCM is their product i.e 3688800

Least Common Multiple of 1696,2175 with GCF Formula

Least Common Multiple of 1696,2175 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 1696,2175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1696,2175) = 1

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

GCF(1696,2175) x common factors =1 x 1 = 1

LCM(1696,2175) = ( 1696 × 2175 ) / 1

LCM(1696,2175) = 3688800 / 1

LCM(1696,2175) = 3688800


Lets's calculate GCF of 578,620

2 578, 620
289, 310

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3688800/2

Therefore the LCM of Fractions 1696/578,2175/620 is 1844400

Greatest Common Factor of 578,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,620 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 578,620 . The biggest common factor number is the GCF number.
So the greatest common factor 578,620 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 1696/578, 2175/620

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 1696/578, 2175/620?

Answer: LCM of Numerators as per given numbers 1696/578, 2175/620 is

LCM of Numerators i.e. for 1696,2175 is 3688800

GCF of denominators i.e. for 578,620 is 2.

Thus, LCM of Fractions is 1844400.Finally, LCM of Fractions for 1696/578, 2175/620 is 1844400.