Least Common Multiple of 855/310, 4313/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 855/310, 4313/110 quickly i.e. 194085/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 855/310, 4313/110 is 194085/10.

LCM(855/310, 4313/110) = 194085/10

LCM of 855/310, 4313/110

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 855/310,4313/110

Given numbers are 855/310,4313/110

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 855,4313

Least Common Multiple of Numerators i.e. LCM of 855,4313 is 194085.

GCF of Denominators means GCF of 310,110 as per the given fractions.

GCF of 310,110 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 855,4313

LCM of Fractions 855/310,4313/110 is 194085/10

19 855, 4313
45, 227

∴ So the LCM of the given numbers is 19 x 45 x 227 = 194085

Least Common Multiple of 855,4313 with GCF Formula

Least Common Multiple of 855,4313 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 855,4313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,4313) = 19

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

GCF(855,4313) x common factors =19 x 1 = 19

LCM(855,4313) = ( 855 × 4313 ) / 19

LCM(855,4313) = 3687615 / 19

LCM(855,4313) = 194085


Lets's calculate GCF of 310,110

2 310, 110
5 155, 55
31, 11

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194085/10

Therefore the LCM of Fractions 855/310,4313/110 is 194085/10

Greatest Common Factor of 310,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,110 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 310,110 . The biggest common factor number is the GCF number.
So the greatest common factor 310,110 is 10.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 855/310, 4313/110

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 855/310, 4313/110?

Answer: LCM of Numerators as per given numbers 855/310, 4313/110 is

LCM of Numerators i.e. for 855,4313 is 194085

GCF of denominators i.e. for 310,110 is 10.

Thus, LCM of Fractions is 194085/10.Finally, LCM of Fractions for 855/310, 4313/110 is 194085/10.