Least Common Multiple of 55/399, 71/913, 170/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/399, 71/913, 170/117 quickly i.e. 132770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/399, 71/913, 170/117 is 132770.

LCM(55/399, 71/913, 170/117) = 132770

LCM of 55/399, 71/913, 170/117

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 55/399,71/913,170/117

Given numbers are 55/399,71/913,170/117

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 55,71,170

Least Common Multiple of Numerators i.e. LCM of 55,71,170 is 132770.

GCF of Denominators means GCF of 399,913,117 as per the given fractions.

GCF of 399,913,117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,71,170

LCM of Fractions 55/399,71/913,170/117 is 132770

5 55, 71, 170
11, 71, 34

∴ So the LCM of the given numbers is 5 x 11 x 71 x 34 = 132770

Least Common Multiple of 55,71,170 with GCF Formula

Least Common Multiple of 55,71,170 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 55,71,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,71,170) = 1

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

GCF(55,71,170) x common factors =1 x 5 = 5

LCM(55,71,170) = ( 55 × 71 × 170 ) / 5

LCM(55,71,170) = 663850 / 5

LCM(55,71,170) = 132770


Lets's calculate GCF of 399,913,117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132770/1

Therefore the LCM of Fractions 55/399,71/913,170/117 is 132770

Greatest Common Factor of 399,913,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,913,117 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 399,913,117 . The biggest common factor number is the GCF number.
So the greatest common factor 399,913,117 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 55/399, 71/913, 170/117

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 55/399, 71/913, 170/117?

Answer: LCM of Numerators as per given numbers 55/399, 71/913, 170/117 is

LCM of Numerators i.e. for 55,71,170 is 132770

GCF of denominators i.e. for 399,913,117 is 1.

Thus, LCM of Fractions is 132770.Finally, LCM of Fractions for 55/399, 71/913, 170/117 is 132770.