Least Common Multiple of 69/554, 38/446, 170/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/554, 38/446, 170/843 quickly i.e. 222870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/554, 38/446, 170/843 is 222870.

LCM(69/554, 38/446, 170/843) = 222870

LCM of 69/554, 38/446, 170/843

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 69/554,38/446,170/843

Given numbers are 69/554,38/446,170/843

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 69,38,170

Least Common Multiple of Numerators i.e. LCM of 69,38,170 is 222870.

GCF of Denominators means GCF of 554,446,843 as per the given fractions.

GCF of 554,446,843 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,38,170

LCM of Fractions 69/554,38/446,170/843 is 222870

2 69, 38, 170
69, 19, 85

∴ So the LCM of the given numbers is 2 x 69 x 19 x 85 = 222870

Least Common Multiple of 69,38,170 with GCF Formula

Least Common Multiple of 69,38,170 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 69,38,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,38,170) = 1

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

GCF(69,38,170) x common factors =1 x 2 = 2

LCM(69,38,170) = ( 69 × 38 × 170 ) / 2

LCM(69,38,170) = 445740 / 2

LCM(69,38,170) = 222870


Lets's calculate GCF of 554,446,843

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 222870/1

Therefore the LCM of Fractions 69/554,38/446,170/843 is 222870

Greatest Common Factor of 554,446,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,446,843 By Matching Biggest Common Factor Method

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 554,446,843 . The biggest common factor number is the GCF number.
So the greatest common factor 554,446,843 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 69/554, 38/446, 170/843

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 69/554, 38/446, 170/843?

Answer: LCM of Numerators as per given numbers 69/554, 38/446, 170/843 is

LCM of Numerators i.e. for 69,38,170 is 222870

GCF of denominators i.e. for 554,446,843 is 1.

Thus, LCM of Fractions is 222870.Finally, LCM of Fractions for 69/554, 38/446, 170/843 is 222870.