Least Common Multiple of 25/17, 870/35, 271/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/17, 870/35, 271/338 quickly i.e. 1178850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/17, 870/35, 271/338 is 1178850.

LCM(25/17, 870/35, 271/338) = 1178850

LCM of 25/17, 870/35, 271/338

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 25/17,870/35,271/338

Given numbers are 25/17,870/35,271/338

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 25,870,271

Least Common Multiple of Numerators i.e. LCM of 25,870,271 is 1178850.

GCF of Denominators means GCF of 17,35,338 as per the given fractions.

GCF of 17,35,338 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,870,271

LCM of Fractions 25/17,870/35,271/338 is 1178850

5 25, 870, 271
5, 174, 271

∴ So the LCM of the given numbers is 5 x 5 x 174 x 271 = 1178850

Least Common Multiple of 25,870,271 with GCF Formula

Least Common Multiple of 25,870,271 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 25,870,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,870,271) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(25,870,271) x common factors =1 x 5 = 5

LCM(25,870,271) = ( 25 × 870 × 271 ) / 5

LCM(25,870,271) = 5894250 / 5

LCM(25,870,271) = 1178850


Lets's calculate GCF of 17,35,338

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1178850/1

Therefore the LCM of Fractions 25/17,870/35,271/338 is 1178850

Greatest Common Factor of 17,35,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,35,338 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 17,35,338 . The biggest common factor number is the GCF number.
So the greatest common factor 17,35,338 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 25/17, 870/35, 271/338

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 25/17, 870/35, 271/338?

Answer: LCM of Numerators as per given numbers 25/17, 870/35, 271/338 is

LCM of Numerators i.e. for 25,870,271 is 1178850

GCF of denominators i.e. for 17,35,338 is 1.

Thus, LCM of Fractions is 1178850.Finally, LCM of Fractions for 25/17, 870/35, 271/338 is 1178850.