Least Common Multiple of 49/60, 692/10, 571/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/60, 692/10, 571/792 quickly i.e. 9680734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/60, 692/10, 571/792 is 9680734.

LCM(49/60, 692/10, 571/792) = 9680734

LCM of 49/60, 692/10, 571/792

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 49/60,692/10,571/792

Given numbers are 49/60,692/10,571/792

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 49,692,571

Least Common Multiple of Numerators i.e. LCM of 49,692,571 is 19361468.

GCF of Denominators means GCF of 60,10,792 as per the given fractions.

GCF of 60,10,792 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,692,571

LCM of Fractions 49/60,692/10,571/792 is 9680734

Given numbers has no common factors except 1. So, there LCM is their product i.e 19361468

Least Common Multiple of 49,692,571 with GCF Formula

Least Common Multiple of 49,692,571 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 49,692,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,692,571) = 1

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

GCF(49,692,571) x common factors =1 x 1 = 1

LCM(49,692,571) = ( 49 × 692 × 571 ) / 1

LCM(49,692,571) = 19361468 / 1

LCM(49,692,571) = 19361468


Lets's calculate GCF of 60,10,792

2 60, 10, 792
30, 5, 396

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19361468/2

Therefore the LCM of Fractions 49/60,692/10,571/792 is 9680734

Greatest Common Factor of 60,10,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,10,792 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 60,10,792 . The biggest common factor number is the GCF number.
So the greatest common factor 60,10,792 is 2.


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 49/60, 692/10, 571/792

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 49/60, 692/10, 571/792?

Answer: LCM of Numerators as per given numbers 49/60, 692/10, 571/792 is

LCM of Numerators i.e. for 49,692,571 is 19361468

GCF of denominators i.e. for 60,10,792 is 2.

Thus, LCM of Fractions is 9680734.Finally, LCM of Fractions for 49/60, 692/10, 571/792 is 9680734.