Least Common Multiple of 1185/474, 1555/2102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1185/474, 1555/2102 quickly i.e. 368535/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1185/474, 1555/2102 is 368535/2.

LCM(1185/474, 1555/2102) = 368535/2

LCM of 1185/474, 1555/2102

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 1185/474,1555/2102

Given numbers are 1185/474,1555/2102

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 1185,1555

Least Common Multiple of Numerators i.e. LCM of 1185,1555 is 368535.

GCF of Denominators means GCF of 474,2102 as per the given fractions.

GCF of 474,2102 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1185,1555

LCM of Fractions 1185/474,1555/2102 is 368535/2

5 1185, 1555
237, 311

∴ So the LCM of the given numbers is 5 x 237 x 311 = 368535

Least Common Multiple of 1185,1555 with GCF Formula

Least Common Multiple of 1185,1555 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 1185,1555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1185,1555) = 5

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

GCF(1185,1555) x common factors =5 x 1 = 5

LCM(1185,1555) = ( 1185 × 1555 ) / 5

LCM(1185,1555) = 1842675 / 5

LCM(1185,1555) = 368535


Lets's calculate GCF of 474,2102

2 474, 2102
237, 1051

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 368535/2

Therefore the LCM of Fractions 1185/474,1555/2102 is 368535/2

Greatest Common Factor of 474,2102 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,2102 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 2102

List of positive integer factors of 2102 that divides 2102 without a remainder.

1,2,1051,2102

Greatest Common Factor

We found the factors 474,2102 . The biggest common factor number is the GCF number.
So the greatest common factor 474,2102 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1185/474, 1555/2102

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 1185/474, 1555/2102?

Answer: LCM of Numerators as per given numbers 1185/474, 1555/2102 is

LCM of Numerators i.e. for 1185,1555 is 368535

GCF of denominators i.e. for 474,2102 is 2.

Thus, LCM of Fractions is 368535/2.Finally, LCM of Fractions for 1185/474, 1555/2102 is 368535/2.