Least Common Multiple of 895/142, 2862/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 895/142, 2862/194 quickly i.e. 1280745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 895/142, 2862/194 is 1280745.

LCM(895/142, 2862/194) = 1280745

LCM of 895/142, 2862/194

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 895/142,2862/194

Given numbers are 895/142,2862/194

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 895,2862

Least Common Multiple of Numerators i.e. LCM of 895,2862 is 2561490.

GCF of Denominators means GCF of 142,194 as per the given fractions.

GCF of 142,194 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 895,2862

LCM of Fractions 895/142,2862/194 is 1280745

Given numbers has no common factors except 1. So, there LCM is their product i.e 2561490

Least Common Multiple of 895,2862 with GCF Formula

Least Common Multiple of 895,2862 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 895,2862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(895,2862) = 1

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

GCF(895,2862) x common factors =1 x 1 = 1

LCM(895,2862) = ( 895 × 2862 ) / 1

LCM(895,2862) = 2561490 / 1

LCM(895,2862) = 2561490


Lets's calculate GCF of 142,194

2 142, 194
71, 97

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2561490/2

Therefore the LCM of Fractions 895/142,2862/194 is 1280745

Greatest Common Factor of 142,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,194 By Matching Biggest Common Factor Method

Factors of 142

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

1,2,71,142

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 142,194 . The biggest common factor number is the GCF number.
So the greatest common factor 142,194 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 895/142, 2862/194

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 895/142, 2862/194?

Answer: LCM of Numerators as per given numbers 895/142, 2862/194 is

LCM of Numerators i.e. for 895,2862 is 2561490

GCF of denominators i.e. for 142,194 is 2.

Thus, LCM of Fractions is 1280745.Finally, LCM of Fractions for 895/142, 2862/194 is 1280745.