Least Common Multiple of 44/60, 710/57, 145/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/60, 710/57, 145/104 quickly i.e. 452980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/60, 710/57, 145/104 is 452980.

LCM(44/60, 710/57, 145/104) = 452980

LCM of 44/60, 710/57, 145/104

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 44/60,710/57,145/104

Given numbers are 44/60,710/57,145/104

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 44,710,145

Least Common Multiple of Numerators i.e. LCM of 44,710,145 is 452980.

GCF of Denominators means GCF of 60,57,104 as per the given fractions.

GCF of 60,57,104 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,710,145

LCM of Fractions 44/60,710/57,145/104 is 452980

2 44, 710, 145
5 22, 355, 145
22, 71, 29

∴ So the LCM of the given numbers is 2 x 5 x 22 x 71 x 29 = 452980

Least Common Multiple of 44,710,145 with GCF Formula

Least Common Multiple of 44,710,145 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 44,710,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,710,145) = 1

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

GCF(44,710,145) x common factors =1 x 10 = 10

LCM(44,710,145) = ( 44 × 710 × 145 ) / 10

LCM(44,710,145) = 4529800 / 10

LCM(44,710,145) = 452980


Lets's calculate GCF of 60,57,104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 452980/1

Therefore the LCM of Fractions 44/60,710/57,145/104 is 452980

Greatest Common Factor of 60,57,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,57,104 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 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 60,57,104 . The biggest common factor number is the GCF number.
So the greatest common factor 60,57,104 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 44/60, 710/57, 145/104

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 44/60, 710/57, 145/104?

Answer: LCM of Numerators as per given numbers 44/60, 710/57, 145/104 is

LCM of Numerators i.e. for 44,710,145 is 452980

GCF of denominators i.e. for 60,57,104 is 1.

Thus, LCM of Fractions is 452980.Finally, LCM of Fractions for 44/60, 710/57, 145/104 is 452980.