Least Common Multiple of 926/142, 1391/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 926/142, 1391/306 quickly i.e. 644033 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 926/142, 1391/306 is 644033.

LCM(926/142, 1391/306) = 644033

LCM of 926/142, 1391/306

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 926/142,1391/306

Given numbers are 926/142,1391/306

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 926,1391

Least Common Multiple of Numerators i.e. LCM of 926,1391 is 1288066.

GCF of Denominators means GCF of 142,306 as per the given fractions.

GCF of 142,306 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 926,1391

LCM of Fractions 926/142,1391/306 is 644033

Given numbers has no common factors except 1. So, there LCM is their product i.e 1288066

Least Common Multiple of 926,1391 with GCF Formula

Least Common Multiple of 926,1391 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 926,1391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,1391) = 1

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

GCF(926,1391) x common factors =1 x 1 = 1

LCM(926,1391) = ( 926 × 1391 ) / 1

LCM(926,1391) = 1288066 / 1

LCM(926,1391) = 1288066


Lets's calculate GCF of 142,306

2 142, 306
71, 153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1288066/2

Therefore the LCM of Fractions 926/142,1391/306 is 644033

Greatest Common Factor of 142,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,306 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 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 142,306 . The biggest common factor number is the GCF number.
So the greatest common factor 142,306 is 2.


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Frequently Asked Questions on Fractional LCM of 926/142, 1391/306

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 926/142, 1391/306?

Answer: LCM of Numerators as per given numbers 926/142, 1391/306 is

LCM of Numerators i.e. for 926,1391 is 1288066

GCF of denominators i.e. for 142,306 is 2.

Thus, LCM of Fractions is 644033.Finally, LCM of Fractions for 926/142, 1391/306 is 644033.