Least Common Multiple of 49/527, 261/114, 991/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/527, 261/114, 991/746 quickly i.e. 12673899 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/527, 261/114, 991/746 is 12673899.

LCM(49/527, 261/114, 991/746) = 12673899

LCM of 49/527, 261/114, 991/746

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 49/527,261/114,991/746

Given numbers are 49/527,261/114,991/746

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 49,261,991

Least Common Multiple of Numerators i.e. LCM of 49,261,991 is 12673899.

GCF of Denominators means GCF of 527,114,746 as per the given fractions.

GCF of 527,114,746 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,261,991

LCM of Fractions 49/527,261/114,991/746 is 12673899

Given numbers has no common factors except 1. So, there LCM is their product i.e 12673899

Least Common Multiple of 49,261,991 with GCF Formula

Least Common Multiple of 49,261,991 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 49,261,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,261,991) = 1

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

GCF(49,261,991) x common factors =1 x 1 = 1

LCM(49,261,991) = ( 49 × 261 × 991 ) / 1

LCM(49,261,991) = 12673899 / 1

LCM(49,261,991) = 12673899


Lets's calculate GCF of 527,114,746

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12673899/1

Therefore the LCM of Fractions 49/527,261/114,991/746 is 12673899

Greatest Common Factor of 527,114,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,114,746 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 527,114,746 . The biggest common factor number is the GCF number.
So the greatest common factor 527,114,746 is 1.


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 49/527, 261/114, 991/746

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 49/527, 261/114, 991/746?

Answer: LCM of Numerators as per given numbers 49/527, 261/114, 991/746 is

LCM of Numerators i.e. for 49,261,991 is 12673899

GCF of denominators i.e. for 527,114,746 is 1.

Thus, LCM of Fractions is 12673899.Finally, LCM of Fractions for 49/527, 261/114, 991/746 is 12673899.