Least Common Multiple of 35/534, 95/354, 257/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/534, 95/354, 257/969 quickly i.e. 170905/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/534, 95/354, 257/969 is 170905/3.

LCM(35/534, 95/354, 257/969) = 170905/3

LCM of 35/534, 95/354, 257/969

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 35/534,95/354,257/969

Given numbers are 35/534,95/354,257/969

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 35,95,257

Least Common Multiple of Numerators i.e. LCM of 35,95,257 is 170905.

GCF of Denominators means GCF of 534,354,969 as per the given fractions.

GCF of 534,354,969 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,95,257

LCM of Fractions 35/534,95/354,257/969 is 170905/3

5 35, 95, 257
7, 19, 257

∴ So the LCM of the given numbers is 5 x 7 x 19 x 257 = 170905

Least Common Multiple of 35,95,257 with GCF Formula

Least Common Multiple of 35,95,257 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 35,95,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,95,257) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,95,257) x common factors =1 x 5 = 5

LCM(35,95,257) = ( 35 × 95 × 257 ) / 5

LCM(35,95,257) = 854525 / 5

LCM(35,95,257) = 170905


Lets's calculate GCF of 534,354,969

3 534, 354, 969
178, 118, 323

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170905/3

Therefore the LCM of Fractions 35/534,95/354,257/969 is 170905/3

Greatest Common Factor of 534,354,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,354,969 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 534,354,969 . The biggest common factor number is the GCF number.
So the greatest common factor 534,354,969 is 3.


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 35/534, 95/354, 257/969

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 35/534, 95/354, 257/969?

Answer: LCM of Numerators as per given numbers 35/534, 95/354, 257/969 is

LCM of Numerators i.e. for 35,95,257 is 170905

GCF of denominators i.e. for 534,354,969 is 3.

Thus, LCM of Fractions is 170905/3.Finally, LCM of Fractions for 35/534, 95/354, 257/969 is 170905/3.