Least Common Multiple of 34/16, 95/96, 834/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/16, 95/96, 834/142 quickly i.e. 673455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/16, 95/96, 834/142 is 673455.

LCM(34/16, 95/96, 834/142) = 673455

LCM of 34/16, 95/96, 834/142

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 34/16,95/96,834/142

Given numbers are 34/16,95/96,834/142

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 34,95,834

Least Common Multiple of Numerators i.e. LCM of 34,95,834 is 1346910.

GCF of Denominators means GCF of 16,96,142 as per the given fractions.

GCF of 16,96,142 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,95,834

LCM of Fractions 34/16,95/96,834/142 is 673455

2 34, 95, 834
17, 95, 417

∴ So the LCM of the given numbers is 2 x 17 x 95 x 417 = 1346910

Least Common Multiple of 34,95,834 with GCF Formula

Least Common Multiple of 34,95,834 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 34,95,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,95,834) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,95,834) x common factors =1 x 2 = 2

LCM(34,95,834) = ( 34 × 95 × 834 ) / 2

LCM(34,95,834) = 2693820 / 2

LCM(34,95,834) = 1346910


Lets's calculate GCF of 16,96,142

2 16, 96, 142
8, 48, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1346910/2

Therefore the LCM of Fractions 34/16,95/96,834/142 is 673455

Greatest Common Factor of 16,96,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,96,142 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 16,96,142 . The biggest common factor number is the GCF number.
So the greatest common factor 16,96,142 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 34/16, 95/96, 834/142

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 34/16, 95/96, 834/142?

Answer: LCM of Numerators as per given numbers 34/16, 95/96, 834/142 is

LCM of Numerators i.e. for 34,95,834 is 1346910

GCF of denominators i.e. for 16,96,142 is 2.

Thus, LCM of Fractions is 673455.Finally, LCM of Fractions for 34/16, 95/96, 834/142 is 673455.