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Least Common Multiple of 60/42, 72/63, 85/66, 96/86

Know Least Common Multiple of fractions 60/42, 72/63, 85/66, 96/86 quickly i.e. 24480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/42, 72/63, 85/66, 96/86 is 24480.

LCM(60/42, 72/63, 85/66, 96/86) = 24480

LCM of 60/42, 72/63, 85/66, 96/86

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 60/42,72/63,85/66,96/86

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 60,72,85,96

Least Common Multiple of Numerators i.e. LCM of 60,72,85,96 is 24480.

GCF of Denominators means GCF of 42,63,66,86 as per the given fractions.

GCF of 42,63,66,86 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,72,85,96

Least Common Multiple (LCM) of 60,72,85,96 By Common Division

2 60, 72, 85, 96
2 30, 36, 85, 48
2 15, 18, 85, 24
3 15, 9, 85, 12
5 5, 3, 85, 4
1, 3, 17, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 3 x 17 x 4 = 24480

Least Common Multiple of 60,72,85,96 with GCF Formula

Least Common Multiple of 60,72,85,96 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 60,72,85,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,72,85,96) = 1

common factors(in case of two or more numbers have common factors) = 1440

GCF(60,72,85,96) x common factors =1 x 1440 = 1440

LCM(60,72,85,96) = ( 60 × 72 × 85 × 96 ) / 1440

LCM(60,72,85,96) = 35251200 / 1440

LCM(60,72,85,96) = 24480


Lets's calculate GCF of 42,63,66,86

Greatest Common Factor (GCF) of 42,63,66,86 By Common Division

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24480/1

Therefore the LCM of Fractions 60/42,72/63,85/66,96/86 is 24480

Greatest Common Factor of 42,63,66,86 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,63,66,86 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Greatest Common Factor

We found the factors 42,63,66,86 . The biggest common factor number is the GCF number.
So the greatest common factor 42,63,66,86 is 1.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 60/42, 72/63, 85/66, 96/86

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 60/42, 72/63, 85/66, 96/86?

Answer: LCM of Numerators as per given numbers 60/42, 72/63, 85/66, 96/86 is

LCM of Numerators i.e. for 60,72,85,96 is 24480

GCF of denominators i.e. for 42,63,66,86 is 1.

Thus, LCM of Fractions is 24480.Finally, LCM of Fractions for 60/42, 72/63, 85/66, 96/86 is 24480.