Least Common Multiple of 34/201, 770/697, 340/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/201, 770/697, 340/144 quickly i.e. 26180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/201, 770/697, 340/144 is 26180.

LCM(34/201, 770/697, 340/144) = 26180

LCM of 34/201, 770/697, 340/144

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 34/201,770/697,340/144

Given numbers are 34/201,770/697,340/144

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 34,770,340

Least Common Multiple of Numerators i.e. LCM of 34,770,340 is 26180.

GCF of Denominators means GCF of 201,697,144 as per the given fractions.

GCF of 201,697,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,770,340

LCM of Fractions 34/201,770/697,340/144 is 26180

2 34, 770, 340
5 17, 385, 170
17 17, 77, 34
1, 77, 2

∴ So the LCM of the given numbers is 2 x 5 x 17 x 1 x 77 x 2 = 26180

Least Common Multiple of 34,770,340 with GCF Formula

Least Common Multiple of 34,770,340 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 34,770,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,770,340) = 2

common factors(in case of two or more numbers have common factors) = 170

GCF(34,770,340) x common factors =2 x 170 = 340

LCM(34,770,340) = ( 34 × 770 × 340 ) / 340

LCM(34,770,340) = 8901200 / 340

LCM(34,770,340) = 26180


Lets's calculate GCF of 201,697,144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26180/1

Therefore the LCM of Fractions 34/201,770/697,340/144 is 26180

Greatest Common Factor of 201,697,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,697,144 By Matching Biggest Common Factor Method

Factors of 201

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

1,3,67,201

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 201,697,144 . The biggest common factor number is the GCF number.
So the greatest common factor 201,697,144 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 34/201, 770/697, 340/144

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 34/201, 770/697, 340/144?

Answer: LCM of Numerators as per given numbers 34/201, 770/697, 340/144 is

LCM of Numerators i.e. for 34,770,340 is 26180

GCF of denominators i.e. for 201,697,144 is 1.

Thus, LCM of Fractions is 26180.Finally, LCM of Fractions for 34/201, 770/697, 340/144 is 26180.