Least Common Multiple of 35/56, 34/31, 48/80, 81/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/56, 34/31, 48/80, 81/821 quickly i.e. 771120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/56, 34/31, 48/80, 81/821 is 771120.

LCM(35/56, 34/31, 48/80, 81/821) = 771120

LCM of 35/56, 34/31, 48/80, 81/821

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 35/56,34/31,48/80,81/821

Given numbers are 35/56,34/31,48/80,81/821

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 35,34,48,81

Least Common Multiple of Numerators i.e. LCM of 35,34,48,81 is 771120.

GCF of Denominators means GCF of 56,31,80,821 as per the given fractions.

GCF of 56,31,80,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,34,48,81

LCM of Fractions 35/56,34/31,48/80,81/821 is 771120

2 35, 34, 48, 81
3 35, 17, 24, 81
35, 17, 8, 27

∴ So the LCM of the given numbers is 2 x 3 x 35 x 17 x 8 x 27 = 771120

Least Common Multiple of 35,34,48,81 with GCF Formula

Least Common Multiple of 35,34,48,81 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 35,34,48,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,34,48,81) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(35,34,48,81) x common factors =1 x 6 = 6

LCM(35,34,48,81) = ( 35 × 34 × 48 × 81 ) / 6

LCM(35,34,48,81) = 4626720 / 6

LCM(35,34,48,81) = 771120


Lets's calculate GCF of 56,31,80,821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 771120/1

Therefore the LCM of Fractions 35/56,34/31,48/80,81/821 is 771120

Greatest Common Factor of 56,31,80,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,31,80,821 By Matching Biggest Common Factor Method

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 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 56,31,80,821 . The biggest common factor number is the GCF number.
So the greatest common factor 56,31,80,821 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 35/56, 34/31, 48/80, 81/821

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 35/56, 34/31, 48/80, 81/821?

Answer: LCM of Numerators as per given numbers 35/56, 34/31, 48/80, 81/821 is

LCM of Numerators i.e. for 35,34,48,81 is 771120

GCF of denominators i.e. for 56,31,80,821 is 1.

Thus, LCM of Fractions is 771120.Finally, LCM of Fractions for 35/56, 34/31, 48/80, 81/821 is 771120.