Least Common Multiple of 55/85, 77/82, 70/38, 64/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/85, 77/82, 70/38, 64/821 quickly i.e. 24640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/85, 77/82, 70/38, 64/821 is 24640.

LCM(55/85, 77/82, 70/38, 64/821) = 24640

LCM of 55/85, 77/82, 70/38, 64/821

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 55/85,77/82,70/38,64/821

Given numbers are 55/85,77/82,70/38,64/821

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 55,77,70,64

Least Common Multiple of Numerators i.e. LCM of 55,77,70,64 is 24640.

GCF of Denominators means GCF of 85,82,38,821 as per the given fractions.

GCF of 85,82,38,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,77,70,64

LCM of Fractions 55/85,77/82,70/38,64/821 is 24640

2 55, 77, 70, 64
5 55, 77, 35, 32
7 11, 77, 7, 32
11 11, 11, 1, 32
1, 1, 1, 32

∴ So the LCM of the given numbers is 2 x 5 x 7 x 11 x 1 x 1 x 1 x 32 = 24640

Least Common Multiple of 55,77,70,64 with GCF Formula

Least Common Multiple of 55,77,70,64 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 55,77,70,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,77,70,64) = 1

common factors(in case of two or more numbers have common factors) = 770

GCF(55,77,70,64) x common factors =1 x 770 = 770

LCM(55,77,70,64) = ( 55 × 77 × 70 × 64 ) / 770

LCM(55,77,70,64) = 18972800 / 770

LCM(55,77,70,64) = 24640


Lets's calculate GCF of 85,82,38,821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24640/1

Therefore the LCM of Fractions 55/85,77/82,70/38,64/821 is 24640

Greatest Common Factor of 85,82,38,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,82,38,821 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

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 85,82,38,821 . The biggest common factor number is the GCF number.
So the greatest common factor 85,82,38,821 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 55/85, 77/82, 70/38, 64/821

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 55/85, 77/82, 70/38, 64/821?

Answer: LCM of Numerators as per given numbers 55/85, 77/82, 70/38, 64/821 is

LCM of Numerators i.e. for 55,77,70,64 is 24640

GCF of denominators i.e. for 85,82,38,821 is 1.

Thus, LCM of Fractions is 24640.Finally, LCM of Fractions for 55/85, 77/82, 70/38, 64/821 is 24640.