Least Common Multiple of 3/66, 4/10, 84/55, 96/373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3/66, 4/10, 84/55, 96/373 quickly i.e. 672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/66, 4/10, 84/55, 96/373 is 672.

LCM(3/66, 4/10, 84/55, 96/373) = 672

LCM of 3/66, 4/10, 84/55, 96/373

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 3/66,4/10,84/55,96/373

Given numbers are 3/66,4/10,84/55,96/373

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 3,4,84,96

Least Common Multiple of Numerators i.e. LCM of 3,4,84,96 is 672.

GCF of Denominators means GCF of 66,10,55,373 as per the given fractions.

GCF of 66,10,55,373 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,4,84,96

LCM of Fractions 3/66,4/10,84/55,96/373 is 672

2 3, 4, 84, 96
2 3, 2, 42, 48
3 3, 1, 21, 24
1, 1, 7, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 1 x 7 x 8 = 672

Least Common Multiple of 3,4,84,96 with GCF Formula

Least Common Multiple of 3,4,84,96 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 3,4,84,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,4,84,96) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(3,4,84,96) x common factors =1 x 144 = 144

LCM(3,4,84,96) = ( 3 × 4 × 84 × 96 ) / 144

LCM(3,4,84,96) = 96768 / 144

LCM(3,4,84,96) = 672


Lets's calculate GCF of 66,10,55,373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 672/1

Therefore the LCM of Fractions 3/66,4/10,84/55,96/373 is 672

Greatest Common Factor of 66,10,55,373 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,10,55,373 By Matching Biggest Common Factor Method

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 10

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

1,2,5,10

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Greatest Common Factor

We found the factors 66,10,55,373 . The biggest common factor number is the GCF number.
So the greatest common factor 66,10,55,373 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3/66, 4/10, 84/55, 96/373

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 3/66, 4/10, 84/55, 96/373?

Answer: LCM of Numerators as per given numbers 3/66, 4/10, 84/55, 96/373 is

LCM of Numerators i.e. for 3,4,84,96 is 672

GCF of denominators i.e. for 66,10,55,373 is 1.

Thus, LCM of Fractions is 672.Finally, LCM of Fractions for 3/66, 4/10, 84/55, 96/373 is 672.