Least Common Multiple of 162/34, 7748/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 162/34, 7748/142 quickly i.e. 313794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 162/34, 7748/142 is 313794.

LCM(162/34, 7748/142) = 313794

LCM of 162/34, 7748/142

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 162/34,7748/142

Given numbers are 162/34,7748/142

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 162,7748

Least Common Multiple of Numerators i.e. LCM of 162,7748 is 627588.

GCF of Denominators means GCF of 34,142 as per the given fractions.

GCF of 34,142 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 162,7748

LCM of Fractions 162/34,7748/142 is 313794

2 162, 7748
81, 3874

∴ So the LCM of the given numbers is 2 x 81 x 3874 = 627588

Least Common Multiple of 162,7748 with GCF Formula

Least Common Multiple of 162,7748 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 162,7748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,7748) = 2

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

GCF(162,7748) x common factors =2 x 1 = 2

LCM(162,7748) = ( 162 × 7748 ) / 2

LCM(162,7748) = 1255176 / 2

LCM(162,7748) = 627588


Lets's calculate GCF of 34,142

2 34, 142
17, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 627588/2

Therefore the LCM of Fractions 162/34,7748/142 is 313794

Greatest Common Factor of 34,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,142 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

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 34,142 . The biggest common factor number is the GCF number.
So the greatest common factor 34,142 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 162/34, 7748/142

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 162/34, 7748/142?

Answer: LCM of Numerators as per given numbers 162/34, 7748/142 is

LCM of Numerators i.e. for 162,7748 is 627588

GCF of denominators i.e. for 34,142 is 2.

Thus, LCM of Fractions is 313794.Finally, LCM of Fractions for 162/34, 7748/142 is 313794.