Least Common Multiple of 135/954, 7981/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 135/954, 7981/400 quickly i.e. 1077435/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/954, 7981/400 is 1077435/2.

LCM(135/954, 7981/400) = 1077435/2

LCM of 135/954, 7981/400

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 135/954,7981/400

Given numbers are 135/954,7981/400

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 135,7981

Least Common Multiple of Numerators i.e. LCM of 135,7981 is 1077435.

GCF of Denominators means GCF of 954,400 as per the given fractions.

GCF of 954,400 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,7981

LCM of Fractions 135/954,7981/400 is 1077435/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1077435

Least Common Multiple of 135,7981 with GCF Formula

Least Common Multiple of 135,7981 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 135,7981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,7981) = 1

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

GCF(135,7981) x common factors =1 x 1 = 1

LCM(135,7981) = ( 135 × 7981 ) / 1

LCM(135,7981) = 1077435 / 1

LCM(135,7981) = 1077435


Lets's calculate GCF of 954,400

2 954, 400
477, 200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1077435/2

Therefore the LCM of Fractions 135/954,7981/400 is 1077435/2

Greatest Common Factor of 954,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,400 By Matching Biggest Common Factor Method

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 954,400 . The biggest common factor number is the GCF number.
So the greatest common factor 954,400 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 135/954, 7981/400

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 135/954, 7981/400?

Answer: LCM of Numerators as per given numbers 135/954, 7981/400 is

LCM of Numerators i.e. for 135,7981 is 1077435

GCF of denominators i.e. for 954,400 is 2.

Thus, LCM of Fractions is 1077435/2.Finally, LCM of Fractions for 135/954, 7981/400 is 1077435/2.