Least Common Multiple of 1426/119, 4198/895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1426/119, 4198/895 quickly i.e. 2993174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1426/119, 4198/895 is 2993174.

LCM(1426/119, 4198/895) = 2993174

LCM of 1426/119, 4198/895

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 1426/119,4198/895

Given numbers are 1426/119,4198/895

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 1426,4198

Least Common Multiple of Numerators i.e. LCM of 1426,4198 is 2993174.

GCF of Denominators means GCF of 119,895 as per the given fractions.

GCF of 119,895 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1426,4198

LCM of Fractions 1426/119,4198/895 is 2993174

2 1426, 4198
713, 2099

∴ So the LCM of the given numbers is 2 x 713 x 2099 = 2993174

Least Common Multiple of 1426,4198 with GCF Formula

Least Common Multiple of 1426,4198 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 1426,4198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1426,4198) = 2

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

GCF(1426,4198) x common factors =2 x 1 = 2

LCM(1426,4198) = ( 1426 × 4198 ) / 2

LCM(1426,4198) = 5986348 / 2

LCM(1426,4198) = 2993174


Lets's calculate GCF of 119,895

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2993174/1

Therefore the LCM of Fractions 1426/119,4198/895 is 2993174

Greatest Common Factor of 119,895 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,895 By Matching Biggest Common Factor Method

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Greatest Common Factor

We found the factors 119,895 . The biggest common factor number is the GCF number.
So the greatest common factor 119,895 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1426/119, 4198/895

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 1426/119, 4198/895?

Answer: LCM of Numerators as per given numbers 1426/119, 4198/895 is

LCM of Numerators i.e. for 1426,4198 is 2993174

GCF of denominators i.e. for 119,895 is 1.

Thus, LCM of Fractions is 2993174.Finally, LCM of Fractions for 1426/119, 4198/895 is 2993174.