Least Common Multiple of 330/684, 2527/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 330/684, 2527/358 quickly i.e. 416955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 330/684, 2527/358 is 416955.

LCM(330/684, 2527/358) = 416955

LCM of 330/684, 2527/358

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 330/684,2527/358

Given numbers are 330/684,2527/358

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 330,2527

Least Common Multiple of Numerators i.e. LCM of 330,2527 is 833910.

GCF of Denominators means GCF of 684,358 as per the given fractions.

GCF of 684,358 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 330,2527

LCM of Fractions 330/684,2527/358 is 416955

Given numbers has no common factors except 1. So, there LCM is their product i.e 833910

Least Common Multiple of 330,2527 with GCF Formula

Least Common Multiple of 330,2527 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 330,2527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,2527) = 1

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

GCF(330,2527) x common factors =1 x 1 = 1

LCM(330,2527) = ( 330 × 2527 ) / 1

LCM(330,2527) = 833910 / 1

LCM(330,2527) = 833910


Lets's calculate GCF of 684,358

2 684, 358
342, 179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 833910/2

Therefore the LCM of Fractions 330/684,2527/358 is 416955

Greatest Common Factor of 684,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,358 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 684,358 . The biggest common factor number is the GCF number.
So the greatest common factor 684,358 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 330/684, 2527/358

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 330/684, 2527/358?

Answer: LCM of Numerators as per given numbers 330/684, 2527/358 is

LCM of Numerators i.e. for 330,2527 is 833910

GCF of denominators i.e. for 684,358 is 2.

Thus, LCM of Fractions is 416955.Finally, LCM of Fractions for 330/684, 2527/358 is 416955.