Least Common Multiple of 694/70, 180/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 694/70, 180/201 quickly i.e. 62460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 694/70, 180/201 is 62460.

LCM(694/70, 180/201) = 62460

LCM of 694/70, 180/201

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 694/70,180/201

Given numbers are 694/70,180/201

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 694,180

Least Common Multiple of Numerators i.e. LCM of 694,180 is 62460.

GCF of Denominators means GCF of 70,201 as per the given fractions.

GCF of 70,201 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 694,180

LCM of Fractions 694/70,180/201 is 62460

2 694, 180
347, 90

∴ So the LCM of the given numbers is 2 x 347 x 90 = 62460

Least Common Multiple of 694,180 with GCF Formula

Least Common Multiple of 694,180 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 694,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,180) = 2

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

GCF(694,180) x common factors =2 x 1 = 2

LCM(694,180) = ( 694 × 180 ) / 2

LCM(694,180) = 124920 / 2

LCM(694,180) = 62460


Lets's calculate GCF of 70,201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62460/1

Therefore the LCM of Fractions 694/70,180/201 is 62460

Greatest Common Factor of 70,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,201 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 70,201 . The biggest common factor number is the GCF number.
So the greatest common factor 70,201 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 694/70, 180/201

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 694/70, 180/201?

Answer: LCM of Numerators as per given numbers 694/70, 180/201 is

LCM of Numerators i.e. for 694,180 is 62460

GCF of denominators i.e. for 70,201 is 1.

Thus, LCM of Fractions is 62460.Finally, LCM of Fractions for 694/70, 180/201 is 62460.