Least Common Multiple of 14/962, 758/347, 311/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/962, 758/347, 311/486 quickly i.e. 1650166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/962, 758/347, 311/486 is 1650166.

LCM(14/962, 758/347, 311/486) = 1650166

LCM of 14/962, 758/347, 311/486

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 14/962,758/347,311/486

Given numbers are 14/962,758/347,311/486

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 14,758,311

Least Common Multiple of Numerators i.e. LCM of 14,758,311 is 1650166.

GCF of Denominators means GCF of 962,347,486 as per the given fractions.

GCF of 962,347,486 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,758,311

LCM of Fractions 14/962,758/347,311/486 is 1650166

2 14, 758, 311
7, 379, 311

∴ So the LCM of the given numbers is 2 x 7 x 379 x 311 = 1650166

Least Common Multiple of 14,758,311 with GCF Formula

Least Common Multiple of 14,758,311 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 14,758,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,758,311) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(14,758,311) x common factors =1 x 2 = 2

LCM(14,758,311) = ( 14 × 758 × 311 ) / 2

LCM(14,758,311) = 3300332 / 2

LCM(14,758,311) = 1650166


Lets's calculate GCF of 962,347,486

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1650166/1

Therefore the LCM of Fractions 14/962,758/347,311/486 is 1650166

Greatest Common Factor of 962,347,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,347,486 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 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 962,347,486 . The biggest common factor number is the GCF number.
So the greatest common factor 962,347,486 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 14/962, 758/347, 311/486

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 14/962, 758/347, 311/486?

Answer: LCM of Numerators as per given numbers 14/962, 758/347, 311/486 is

LCM of Numerators i.e. for 14,758,311 is 1650166

GCF of denominators i.e. for 962,347,486 is 1.

Thus, LCM of Fractions is 1650166.Finally, LCM of Fractions for 14/962, 758/347, 311/486 is 1650166.