Least Common Multiple of 428/558, 1700/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/558, 1700/705 quickly i.e. 181900/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/558, 1700/705 is 181900/3.

LCM(428/558, 1700/705) = 181900/3

LCM of 428/558, 1700/705

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 428/558,1700/705

Given numbers are 428/558,1700/705

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 428,1700

Least Common Multiple of Numerators i.e. LCM of 428,1700 is 181900.

GCF of Denominators means GCF of 558,705 as per the given fractions.

GCF of 558,705 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,1700

LCM of Fractions 428/558,1700/705 is 181900/3

2 428, 1700
2 214, 850
107, 425

∴ So the LCM of the given numbers is 2 x 2 x 107 x 425 = 181900

Least Common Multiple of 428,1700 with GCF Formula

Least Common Multiple of 428,1700 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 428,1700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,1700) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(428,1700) x common factors =4 x 1 = 4

LCM(428,1700) = ( 428 × 1700 ) / 4

LCM(428,1700) = 727600 / 4

LCM(428,1700) = 181900


Lets's calculate GCF of 558,705

3 558, 705
186, 235

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181900/3

Therefore the LCM of Fractions 428/558,1700/705 is 181900/3

Greatest Common Factor of 558,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,705 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 558,705 . The biggest common factor number is the GCF number.
So the greatest common factor 558,705 is 3.


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 428/558, 1700/705

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 428/558, 1700/705?

Answer: LCM of Numerators as per given numbers 428/558, 1700/705 is

LCM of Numerators i.e. for 428,1700 is 181900

GCF of denominators i.e. for 558,705 is 3.

Thus, LCM of Fractions is 181900/3.Finally, LCM of Fractions for 428/558, 1700/705 is 181900/3.