Least Common Multiple of 35/962, 25/622, 214/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 35/962, 25/622, 214/886 quickly i.e. 18725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/962, 25/622, 214/886 is 18725.

LCM(35/962, 25/622, 214/886) = 18725

LCM of 35/962, 25/622, 214/886

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 35/962,25/622,214/886

Given numbers are 35/962,25/622,214/886

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 35,25,214

Least Common Multiple of Numerators i.e. LCM of 35,25,214 is 37450.

GCF of Denominators means GCF of 962,622,886 as per the given fractions.

GCF of 962,622,886 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,25,214

LCM of Fractions 35/962,25/622,214/886 is 18725

5 35, 25, 214
7, 5, 214

∴ So the LCM of the given numbers is 5 x 7 x 5 x 214 = 37450

Least Common Multiple of 35,25,214 with GCF Formula

Least Common Multiple of 35,25,214 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 35,25,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,25,214) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,25,214) x common factors =1 x 5 = 5

LCM(35,25,214) = ( 35 × 25 × 214 ) / 5

LCM(35,25,214) = 187250 / 5

LCM(35,25,214) = 37450


Lets's calculate GCF of 962,622,886

2 962, 622, 886
481, 311, 443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37450/2

Therefore the LCM of Fractions 35/962,25/622,214/886 is 18725

Greatest Common Factor of 962,622,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,622,886 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 962,622,886 . The biggest common factor number is the GCF number.
So the greatest common factor 962,622,886 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 35/962, 25/622, 214/886

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 35/962, 25/622, 214/886?

Answer: LCM of Numerators as per given numbers 35/962, 25/622, 214/886 is

LCM of Numerators i.e. for 35,25,214 is 37450

GCF of denominators i.e. for 962,622,886 is 2.

Thus, LCM of Fractions is 18725.Finally, LCM of Fractions for 35/962, 25/622, 214/886 is 18725.