Least Common Multiple of 49/576, 60/112, 410/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/576, 60/112, 410/662 quickly i.e. 60270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/576, 60/112, 410/662 is 60270.

LCM(49/576, 60/112, 410/662) = 60270

LCM of 49/576, 60/112, 410/662

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 49/576,60/112,410/662

Given numbers are 49/576,60/112,410/662

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 49,60,410

Least Common Multiple of Numerators i.e. LCM of 49,60,410 is 120540.

GCF of Denominators means GCF of 576,112,662 as per the given fractions.

GCF of 576,112,662 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,60,410

LCM of Fractions 49/576,60/112,410/662 is 60270

2 49, 60, 410
5 49, 30, 205
49, 6, 41

∴ So the LCM of the given numbers is 2 x 5 x 49 x 6 x 41 = 120540

Least Common Multiple of 49,60,410 with GCF Formula

Least Common Multiple of 49,60,410 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 49,60,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,60,410) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(49,60,410) x common factors =1 x 10 = 10

LCM(49,60,410) = ( 49 × 60 × 410 ) / 10

LCM(49,60,410) = 1205400 / 10

LCM(49,60,410) = 120540


Lets's calculate GCF of 576,112,662

2 576, 112, 662
288, 56, 331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120540/2

Therefore the LCM of Fractions 49/576,60/112,410/662 is 60270

Greatest Common Factor of 576,112,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,112,662 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 576,112,662 . The biggest common factor number is the GCF number.
So the greatest common factor 576,112,662 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 49/576, 60/112, 410/662

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 49/576, 60/112, 410/662?

Answer: LCM of Numerators as per given numbers 49/576, 60/112, 410/662 is

LCM of Numerators i.e. for 49,60,410 is 120540

GCF of denominators i.e. for 576,112,662 is 2.

Thus, LCM of Fractions is 60270.Finally, LCM of Fractions for 49/576, 60/112, 410/662 is 60270.