Least Common Multiple of 7/170, 80/355, 26/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/170, 80/355, 26/625 quickly i.e. 1456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/170, 80/355, 26/625 is 1456.

LCM(7/170, 80/355, 26/625) = 1456

LCM of 7/170, 80/355, 26/625

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 7/170,80/355,26/625

Given numbers are 7/170,80/355,26/625

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 7,80,26

Least Common Multiple of Numerators i.e. LCM of 7,80,26 is 7280.

GCF of Denominators means GCF of 170,355,625 as per the given fractions.

GCF of 170,355,625 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,80,26

LCM of Fractions 7/170,80/355,26/625 is 1456

2 7, 80, 26
7, 40, 13

∴ So the LCM of the given numbers is 2 x 7 x 40 x 13 = 7280

Least Common Multiple of 7,80,26 with GCF Formula

Least Common Multiple of 7,80,26 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 7,80,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,80,26) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(7,80,26) x common factors =1 x 2 = 2

LCM(7,80,26) = ( 7 × 80 × 26 ) / 2

LCM(7,80,26) = 14560 / 2

LCM(7,80,26) = 7280


Lets's calculate GCF of 170,355,625

5 170, 355, 625
34, 71, 125

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7280/5

Therefore the LCM of Fractions 7/170,80/355,26/625 is 1456

Greatest Common Factor of 170,355,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,355,625 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 170,355,625 . The biggest common factor number is the GCF number.
So the greatest common factor 170,355,625 is 5.


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 7/170, 80/355, 26/625

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 7/170, 80/355, 26/625?

Answer: LCM of Numerators as per given numbers 7/170, 80/355, 26/625 is

LCM of Numerators i.e. for 7,80,26 is 7280

GCF of denominators i.e. for 170,355,625 is 5.

Thus, LCM of Fractions is 1456.Finally, LCM of Fractions for 7/170, 80/355, 26/625 is 1456.