Least Common Multiple of 92/310, 65/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/310, 65/104 quickly i.e. 2990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/310, 65/104 is 2990.

LCM(92/310, 65/104) = 2990

LCM of 92/310, 65/104

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 92/310,65/104

Given numbers are 92/310,65/104

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 92,65

Least Common Multiple of Numerators i.e. LCM of 92,65 is 5980.

GCF of Denominators means GCF of 310,104 as per the given fractions.

GCF of 310,104 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,65

LCM of Fractions 92/310,65/104 is 2990

Given numbers has no common factors except 1. So, there LCM is their product i.e 5980

Least Common Multiple of 92,65 with GCF Formula

Least Common Multiple of 92,65 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 92,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,65) = 1

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

GCF(92,65) x common factors =1 x 1 = 1

LCM(92,65) = ( 92 × 65 ) / 1

LCM(92,65) = 5980 / 1

LCM(92,65) = 5980


Lets's calculate GCF of 310,104

2 310, 104
155, 52

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5980/2

Therefore the LCM of Fractions 92/310,65/104 is 2990

Greatest Common Factor of 310,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,104 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 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 310,104 . The biggest common factor number is the GCF number.
So the greatest common factor 310,104 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 92/310, 65/104

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 92/310, 65/104?

Answer: LCM of Numerators as per given numbers 92/310, 65/104 is

LCM of Numerators i.e. for 92,65 is 5980

GCF of denominators i.e. for 310,104 is 2.

Thus, LCM of Fractions is 2990.Finally, LCM of Fractions for 92/310, 65/104 is 2990.