Least Common Multiple of 61/442, 60/472, 554/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 61/442, 60/472, 554/332 quickly i.e. 506910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/442, 60/472, 554/332 is 506910.

LCM(61/442, 60/472, 554/332) = 506910

LCM of 61/442, 60/472, 554/332

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 61/442,60/472,554/332

Given numbers are 61/442,60/472,554/332

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 61,60,554

Least Common Multiple of Numerators i.e. LCM of 61,60,554 is 1013820.

GCF of Denominators means GCF of 442,472,332 as per the given fractions.

GCF of 442,472,332 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,60,554

LCM of Fractions 61/442,60/472,554/332 is 506910

2 61, 60, 554
61, 30, 277

∴ So the LCM of the given numbers is 2 x 61 x 30 x 277 = 1013820

Least Common Multiple of 61,60,554 with GCF Formula

Least Common Multiple of 61,60,554 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 61,60,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,60,554) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(61,60,554) x common factors =1 x 2 = 2

LCM(61,60,554) = ( 61 × 60 × 554 ) / 2

LCM(61,60,554) = 2027640 / 2

LCM(61,60,554) = 1013820


Lets's calculate GCF of 442,472,332

2 442, 472, 332
221, 236, 166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1013820/2

Therefore the LCM of Fractions 61/442,60/472,554/332 is 506910

Greatest Common Factor of 442,472,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,472,332 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 442,472,332 . The biggest common factor number is the GCF number.
So the greatest common factor 442,472,332 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 61/442, 60/472, 554/332

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 61/442, 60/472, 554/332?

Answer: LCM of Numerators as per given numbers 61/442, 60/472, 554/332 is

LCM of Numerators i.e. for 61,60,554 is 1013820

GCF of denominators i.e. for 442,472,332 is 2.

Thus, LCM of Fractions is 506910.Finally, LCM of Fractions for 61/442, 60/472, 554/332 is 506910.