Least Common Multiple of 25/706, 2740/1934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/706, 2740/1934 quickly i.e. 6850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/706, 2740/1934 is 6850.

LCM(25/706, 2740/1934) = 6850

LCM of 25/706, 2740/1934

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 25/706,2740/1934

Given numbers are 25/706,2740/1934

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 25,2740

Least Common Multiple of Numerators i.e. LCM of 25,2740 is 13700.

GCF of Denominators means GCF of 706,1934 as per the given fractions.

GCF of 706,1934 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,2740

LCM of Fractions 25/706,2740/1934 is 6850

5 25, 2740
5, 548

∴ So the LCM of the given numbers is 5 x 5 x 548 = 13700

Least Common Multiple of 25,2740 with GCF Formula

Least Common Multiple of 25,2740 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 25,2740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,2740) = 5

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

GCF(25,2740) x common factors =5 x 1 = 5

LCM(25,2740) = ( 25 × 2740 ) / 5

LCM(25,2740) = 68500 / 5

LCM(25,2740) = 13700


Lets's calculate GCF of 706,1934

2 706, 1934
353, 967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13700/2

Therefore the LCM of Fractions 25/706,2740/1934 is 6850

Greatest Common Factor of 706,1934 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,1934 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 1934

List of positive integer factors of 1934 that divides 1934 without a remainder.

1,2,967,1934

Greatest Common Factor

We found the factors 706,1934 . The biggest common factor number is the GCF number.
So the greatest common factor 706,1934 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 25/706, 2740/1934

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 25/706, 2740/1934?

Answer: LCM of Numerators as per given numbers 25/706, 2740/1934 is

LCM of Numerators i.e. for 25,2740 is 13700

GCF of denominators i.e. for 706,1934 is 2.

Thus, LCM of Fractions is 6850.Finally, LCM of Fractions for 25/706, 2740/1934 is 6850.