Least Common Multiple of 34/196, 17/577, 155/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/196, 17/577, 155/765 quickly i.e. 5270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/196, 17/577, 155/765 is 5270.

LCM(34/196, 17/577, 155/765) = 5270

LCM of 34/196, 17/577, 155/765

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 34/196,17/577,155/765

Given numbers are 34/196,17/577,155/765

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 34,17,155

Least Common Multiple of Numerators i.e. LCM of 34,17,155 is 5270.

GCF of Denominators means GCF of 196,577,765 as per the given fractions.

GCF of 196,577,765 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,17,155

LCM of Fractions 34/196,17/577,155/765 is 5270

17 34, 17, 155
2, 1, 155

∴ So the LCM of the given numbers is 17 x 2 x 1 x 155 = 5270

Least Common Multiple of 34,17,155 with GCF Formula

Least Common Multiple of 34,17,155 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 34,17,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,17,155) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(34,17,155) x common factors =1 x 17 = 17

LCM(34,17,155) = ( 34 × 17 × 155 ) / 17

LCM(34,17,155) = 89590 / 17

LCM(34,17,155) = 5270


Lets's calculate GCF of 196,577,765

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5270/1

Therefore the LCM of Fractions 34/196,17/577,155/765 is 5270

Greatest Common Factor of 196,577,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,577,765 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 196,577,765 . The biggest common factor number is the GCF number.
So the greatest common factor 196,577,765 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 34/196, 17/577, 155/765

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 34/196, 17/577, 155/765?

Answer: LCM of Numerators as per given numbers 34/196, 17/577, 155/765 is

LCM of Numerators i.e. for 34,17,155 is 5270

GCF of denominators i.e. for 196,577,765 is 1.

Thus, LCM of Fractions is 5270.Finally, LCM of Fractions for 34/196, 17/577, 155/765 is 5270.