Least Common Multiple of 994/791, 1007/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 994/791, 1007/532 quickly i.e. 142994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 994/791, 1007/532 is 142994.

LCM(994/791, 1007/532) = 142994

LCM of 994/791, 1007/532

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 994/791,1007/532

Given numbers are 994/791,1007/532

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 994,1007

Least Common Multiple of Numerators i.e. LCM of 994,1007 is 1000958.

GCF of Denominators means GCF of 791,532 as per the given fractions.

GCF of 791,532 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 994,1007

LCM of Fractions 994/791,1007/532 is 142994

Given numbers has no common factors except 1. So, there LCM is their product i.e 1000958

Least Common Multiple of 994,1007 with GCF Formula

Least Common Multiple of 994,1007 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 994,1007 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,1007) = 1

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

GCF(994,1007) x common factors =1 x 1 = 1

LCM(994,1007) = ( 994 × 1007 ) / 1

LCM(994,1007) = 1000958 / 1

LCM(994,1007) = 1000958


Lets's calculate GCF of 791,532

7 791, 532
113, 76

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1000958/7

Therefore the LCM of Fractions 994/791,1007/532 is 142994

Greatest Common Factor of 791,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 791,532 By Matching Biggest Common Factor Method

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 791,532 . The biggest common factor number is the GCF number.
So the greatest common factor 791,532 is 7.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 994/791, 1007/532

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 994/791, 1007/532?

Answer: LCM of Numerators as per given numbers 994/791, 1007/532 is

LCM of Numerators i.e. for 994,1007 is 1000958

GCF of denominators i.e. for 791,532 is 7.

Thus, LCM of Fractions is 142994.Finally, LCM of Fractions for 994/791, 1007/532 is 142994.