Least Common Multiple of 91/46, 93/52, 61/74, 14/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/46, 93/52, 61/74, 14/310 quickly i.e. 516243 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/46, 93/52, 61/74, 14/310 is 516243.

LCM(91/46, 93/52, 61/74, 14/310) = 516243

LCM of 91/46, 93/52, 61/74, 14/310

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 91/46,93/52,61/74,14/310

Given numbers are 91/46,93/52,61/74,14/310

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 91,93,61,14

Least Common Multiple of Numerators i.e. LCM of 91,93,61,14 is 1032486.

GCF of Denominators means GCF of 46,52,74,310 as per the given fractions.

GCF of 46,52,74,310 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,93,61,14

LCM of Fractions 91/46,93/52,61/74,14/310 is 516243

7 91, 93, 61, 14
13, 93, 61, 2

∴ So the LCM of the given numbers is 7 x 13 x 93 x 61 x 2 = 1032486

Least Common Multiple of 91,93,61,14 with GCF Formula

Least Common Multiple of 91,93,61,14 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 91,93,61,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,93,61,14) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(91,93,61,14) x common factors =1 x 7 = 7

LCM(91,93,61,14) = ( 91 × 93 × 61 × 14 ) / 7

LCM(91,93,61,14) = 7227402 / 7

LCM(91,93,61,14) = 1032486


Lets's calculate GCF of 46,52,74,310

2 46, 52, 74, 310
23, 26, 37, 155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1032486/2

Therefore the LCM of Fractions 91/46,93/52,61/74,14/310 is 516243

Greatest Common Factor of 46,52,74,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,52,74,310 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 46,52,74,310 . The biggest common factor number is the GCF number.
So the greatest common factor 46,52,74,310 is 2.


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 91/46, 93/52, 61/74, 14/310

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 91/46, 93/52, 61/74, 14/310?

Answer: LCM of Numerators as per given numbers 91/46, 93/52, 61/74, 14/310 is

LCM of Numerators i.e. for 91,93,61,14 is 1032486

GCF of denominators i.e. for 46,52,74,310 is 2.

Thus, LCM of Fractions is 516243.Finally, LCM of Fractions for 91/46, 93/52, 61/74, 14/310 is 516243.