Least Common Multiple of 54/250, 7070/1706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/250, 7070/1706 quickly i.e. 95445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/250, 7070/1706 is 95445.

LCM(54/250, 7070/1706) = 95445

LCM of 54/250, 7070/1706

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 54/250,7070/1706

Given numbers are 54/250,7070/1706

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 54,7070

Least Common Multiple of Numerators i.e. LCM of 54,7070 is 190890.

GCF of Denominators means GCF of 250,1706 as per the given fractions.

GCF of 250,1706 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,7070

LCM of Fractions 54/250,7070/1706 is 95445

2 54, 7070
27, 3535

∴ So the LCM of the given numbers is 2 x 27 x 3535 = 190890

Least Common Multiple of 54,7070 with GCF Formula

Least Common Multiple of 54,7070 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 54,7070 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,7070) = 2

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

GCF(54,7070) x common factors =2 x 1 = 2

LCM(54,7070) = ( 54 × 7070 ) / 2

LCM(54,7070) = 381780 / 2

LCM(54,7070) = 190890


Lets's calculate GCF of 250,1706

2 250, 1706
125, 853

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190890/2

Therefore the LCM of Fractions 54/250,7070/1706 is 95445

Greatest Common Factor of 250,1706 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,1706 By Matching Biggest Common Factor Method

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 1706

List of positive integer factors of 1706 that divides 1706 without a remainder.

1,2,853,1706

Greatest Common Factor

We found the factors 250,1706 . The biggest common factor number is the GCF number.
So the greatest common factor 250,1706 is 2.


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 54/250, 7070/1706

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 54/250, 7070/1706?

Answer: LCM of Numerators as per given numbers 54/250, 7070/1706 is

LCM of Numerators i.e. for 54,7070 is 190890

GCF of denominators i.e. for 250,1706 is 2.

Thus, LCM of Fractions is 95445.Finally, LCM of Fractions for 54/250, 7070/1706 is 95445.