Least Common Multiple of 56/26, 85/89, 80/34, 38/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/26, 85/89, 80/34, 38/707 quickly i.e. 180880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/26, 85/89, 80/34, 38/707 is 180880.

LCM(56/26, 85/89, 80/34, 38/707) = 180880

LCM of 56/26, 85/89, 80/34, 38/707

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 56/26,85/89,80/34,38/707

Given numbers are 56/26,85/89,80/34,38/707

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 56,85,80,38

Least Common Multiple of Numerators i.e. LCM of 56,85,80,38 is 180880.

GCF of Denominators means GCF of 26,89,34,707 as per the given fractions.

GCF of 26,89,34,707 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,85,80,38

LCM of Fractions 56/26,85/89,80/34,38/707 is 180880

2 56, 85, 80, 38
2 28, 85, 40, 19
2 14, 85, 20, 19
5 7, 85, 10, 19
7, 17, 2, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 17 x 2 x 19 = 180880

Least Common Multiple of 56,85,80,38 with GCF Formula

Least Common Multiple of 56,85,80,38 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 56,85,80,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,85,80,38) = 1

common factors(in case of two or more numbers have common factors) = 80

GCF(56,85,80,38) x common factors =1 x 80 = 80

LCM(56,85,80,38) = ( 56 × 85 × 80 × 38 ) / 80

LCM(56,85,80,38) = 14470400 / 80

LCM(56,85,80,38) = 180880


Lets's calculate GCF of 26,89,34,707

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180880/1

Therefore the LCM of Fractions 56/26,85/89,80/34,38/707 is 180880

Greatest Common Factor of 26,89,34,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,89,34,707 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 26,89,34,707 . The biggest common factor number is the GCF number.
So the greatest common factor 26,89,34,707 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 56/26, 85/89, 80/34, 38/707

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 56/26, 85/89, 80/34, 38/707?

Answer: LCM of Numerators as per given numbers 56/26, 85/89, 80/34, 38/707 is

LCM of Numerators i.e. for 56,85,80,38 is 180880

GCF of denominators i.e. for 26,89,34,707 is 1.

Thus, LCM of Fractions is 180880.Finally, LCM of Fractions for 56/26, 85/89, 80/34, 38/707 is 180880.