Least Common Multiple of 38/70, 723/20, 735/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/70, 723/20, 735/925 quickly i.e. 1346226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/70, 723/20, 735/925 is 1346226.

LCM(38/70, 723/20, 735/925) = 1346226

LCM of 38/70, 723/20, 735/925

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 38/70,723/20,735/925

Given numbers are 38/70,723/20,735/925

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 38,723,735

Least Common Multiple of Numerators i.e. LCM of 38,723,735 is 6731130.

GCF of Denominators means GCF of 70,20,925 as per the given fractions.

GCF of 70,20,925 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,723,735

LCM of Fractions 38/70,723/20,735/925 is 1346226

3 38, 723, 735
38, 241, 245

∴ So the LCM of the given numbers is 3 x 38 x 241 x 245 = 6731130

Least Common Multiple of 38,723,735 with GCF Formula

Least Common Multiple of 38,723,735 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 38,723,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,723,735) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(38,723,735) x common factors =1 x 3 = 3

LCM(38,723,735) = ( 38 × 723 × 735 ) / 3

LCM(38,723,735) = 20193390 / 3

LCM(38,723,735) = 6731130


Lets's calculate GCF of 70,20,925

5 70, 20, 925
14, 4, 185

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6731130/5

Therefore the LCM of Fractions 38/70,723/20,735/925 is 1346226

Greatest Common Factor of 70,20,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,20,925 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 70,20,925 . The biggest common factor number is the GCF number.
So the greatest common factor 70,20,925 is 5.


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 38/70, 723/20, 735/925

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 38/70, 723/20, 735/925?

Answer: LCM of Numerators as per given numbers 38/70, 723/20, 735/925 is

LCM of Numerators i.e. for 38,723,735 is 6731130

GCF of denominators i.e. for 70,20,925 is 5.

Thus, LCM of Fractions is 1346226.Finally, LCM of Fractions for 38/70, 723/20, 735/925 is 1346226.