Least Common Multiple of 25/232, 78/402, 692/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/232, 78/402, 692/785 quickly i.e. 674700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/232, 78/402, 692/785 is 674700.

LCM(25/232, 78/402, 692/785) = 674700

LCM of 25/232, 78/402, 692/785

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 25/232,78/402,692/785

Given numbers are 25/232,78/402,692/785

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 25,78,692

Least Common Multiple of Numerators i.e. LCM of 25,78,692 is 674700.

GCF of Denominators means GCF of 232,402,785 as per the given fractions.

GCF of 232,402,785 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,78,692

LCM of Fractions 25/232,78/402,692/785 is 674700

2 25, 78, 692
25, 39, 346

∴ So the LCM of the given numbers is 2 x 25 x 39 x 346 = 674700

Least Common Multiple of 25,78,692 with GCF Formula

Least Common Multiple of 25,78,692 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 25,78,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,78,692) = 1

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

GCF(25,78,692) x common factors =1 x 2 = 2

LCM(25,78,692) = ( 25 × 78 × 692 ) / 2

LCM(25,78,692) = 1349400 / 2

LCM(25,78,692) = 674700


Lets's calculate GCF of 232,402,785

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 674700/1

Therefore the LCM of Fractions 25/232,78/402,692/785 is 674700

Greatest Common Factor of 232,402,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,402,785 By Matching Biggest Common Factor Method

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors 232,402,785 . The biggest common factor number is the GCF number.
So the greatest common factor 232,402,785 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 25/232, 78/402, 692/785

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 25/232, 78/402, 692/785?

Answer: LCM of Numerators as per given numbers 25/232, 78/402, 692/785 is

LCM of Numerators i.e. for 25,78,692 is 674700

GCF of denominators i.e. for 232,402,785 is 1.

Thus, LCM of Fractions is 674700.Finally, LCM of Fractions for 25/232, 78/402, 692/785 is 674700.