Least Common Multiple of 34/10, 51/57, 74/56, 81/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/10, 51/57, 74/56, 81/248 quickly i.e. 101898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/10, 51/57, 74/56, 81/248 is 101898.

LCM(34/10, 51/57, 74/56, 81/248) = 101898

LCM of 34/10, 51/57, 74/56, 81/248

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 34/10,51/57,74/56,81/248

Given numbers are 34/10,51/57,74/56,81/248

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 34,51,74,81

Least Common Multiple of Numerators i.e. LCM of 34,51,74,81 is 101898.

GCF of Denominators means GCF of 10,57,56,248 as per the given fractions.

GCF of 10,57,56,248 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,51,74,81

LCM of Fractions 34/10,51/57,74/56,81/248 is 101898

2 34, 51, 74, 81
3 17, 51, 37, 81
17 17, 17, 37, 27
1, 1, 37, 27

∴ So the LCM of the given numbers is 2 x 3 x 17 x 1 x 1 x 37 x 27 = 101898

Least Common Multiple of 34,51,74,81 with GCF Formula

Least Common Multiple of 34,51,74,81 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 34,51,74,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,51,74,81) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(34,51,74,81) x common factors =1 x 102 = 102

LCM(34,51,74,81) = ( 34 × 51 × 74 × 81 ) / 102

LCM(34,51,74,81) = 10393596 / 102

LCM(34,51,74,81) = 101898


Lets's calculate GCF of 10,57,56,248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101898/1

Therefore the LCM of Fractions 34/10,51/57,74/56,81/248 is 101898

Greatest Common Factor of 10,57,56,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,57,56,248 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 10,57,56,248 . The biggest common factor number is the GCF number.
So the greatest common factor 10,57,56,248 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 34/10, 51/57, 74/56, 81/248

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 34/10, 51/57, 74/56, 81/248?

Answer: LCM of Numerators as per given numbers 34/10, 51/57, 74/56, 81/248 is

LCM of Numerators i.e. for 34,51,74,81 is 101898

GCF of denominators i.e. for 10,57,56,248 is 1.

Thus, LCM of Fractions is 101898.Finally, LCM of Fractions for 34/10, 51/57, 74/56, 81/248 is 101898.