Least Common Multiple of 49/748, 47/785, 996/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/748, 47/785, 996/558 quickly i.e. 2293788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/748, 47/785, 996/558 is 2293788.

LCM(49/748, 47/785, 996/558) = 2293788

LCM of 49/748, 47/785, 996/558

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 49/748,47/785,996/558

Given numbers are 49/748,47/785,996/558

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 49,47,996

Least Common Multiple of Numerators i.e. LCM of 49,47,996 is 2293788.

GCF of Denominators means GCF of 748,785,558 as per the given fractions.

GCF of 748,785,558 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,47,996

LCM of Fractions 49/748,47/785,996/558 is 2293788

Given numbers has no common factors except 1. So, there LCM is their product i.e 2293788

Least Common Multiple of 49,47,996 with GCF Formula

Least Common Multiple of 49,47,996 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 49,47,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,47,996) = 1

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

GCF(49,47,996) x common factors =1 x 1 = 1

LCM(49,47,996) = ( 49 × 47 × 996 ) / 1

LCM(49,47,996) = 2293788 / 1

LCM(49,47,996) = 2293788


Lets's calculate GCF of 748,785,558

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2293788/1

Therefore the LCM of Fractions 49/748,47/785,996/558 is 2293788

Greatest Common Factor of 748,785,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,785,558 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 748,785,558 . The biggest common factor number is the GCF number.
So the greatest common factor 748,785,558 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 49/748, 47/785, 996/558

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 49/748, 47/785, 996/558?

Answer: LCM of Numerators as per given numbers 49/748, 47/785, 996/558 is

LCM of Numerators i.e. for 49,47,996 is 2293788

GCF of denominators i.e. for 748,785,558 is 1.

Thus, LCM of Fractions is 2293788.Finally, LCM of Fractions for 49/748, 47/785, 996/558 is 2293788.