Least Common Multiple of 402/85, 255/4984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 402/85, 255/4984 quickly i.e. 34170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 402/85, 255/4984 is 34170.

LCM(402/85, 255/4984) = 34170

LCM of 402/85, 255/4984

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 402/85,255/4984

Given numbers are 402/85,255/4984

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 402,255

Least Common Multiple of Numerators i.e. LCM of 402,255 is 34170.

GCF of Denominators means GCF of 85,4984 as per the given fractions.

GCF of 85,4984 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 402,255

LCM of Fractions 402/85,255/4984 is 34170

3 402, 255
134, 85

∴ So the LCM of the given numbers is 3 x 134 x 85 = 34170

Least Common Multiple of 402,255 with GCF Formula

Least Common Multiple of 402,255 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 402,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,255) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(402,255) x common factors =3 x 1 = 3

LCM(402,255) = ( 402 × 255 ) / 3

LCM(402,255) = 102510 / 3

LCM(402,255) = 34170


Lets's calculate GCF of 85,4984

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34170/1

Therefore the LCM of Fractions 402/85,255/4984 is 34170

Greatest Common Factor of 85,4984 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,4984 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 4984

List of positive integer factors of 4984 that divides 4984 without a remainder.

1,2,4,7,8,14,28,56,89,178,356,623,712,1246,2492,4984

Greatest Common Factor

We found the factors 85,4984 . The biggest common factor number is the GCF number.
So the greatest common factor 85,4984 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 402/85, 255/4984

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 402/85, 255/4984?

Answer: LCM of Numerators as per given numbers 402/85, 255/4984 is

LCM of Numerators i.e. for 402,255 is 34170

GCF of denominators i.e. for 85,4984 is 1.

Thus, LCM of Fractions is 34170.Finally, LCM of Fractions for 402/85, 255/4984 is 34170.