Least Common Multiple of 9526/706, 7427/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9526/706, 7427/418 quickly i.e. 35374801 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9526/706, 7427/418 is 35374801.

LCM(9526/706, 7427/418) = 35374801

LCM of 9526/706, 7427/418

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 9526/706,7427/418

Given numbers are 9526/706,7427/418

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 9526,7427

Least Common Multiple of Numerators i.e. LCM of 9526,7427 is 70749602.

GCF of Denominators means GCF of 706,418 as per the given fractions.

GCF of 706,418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9526,7427

LCM of Fractions 9526/706,7427/418 is 35374801

Given numbers has no common factors except 1. So, there LCM is their product i.e 70749602

Least Common Multiple of 9526,7427 with GCF Formula

Least Common Multiple of 9526,7427 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 9526,7427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9526,7427) = 1

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

GCF(9526,7427) x common factors =1 x 1 = 1

LCM(9526,7427) = ( 9526 × 7427 ) / 1

LCM(9526,7427) = 70749602 / 1

LCM(9526,7427) = 70749602


Lets's calculate GCF of 706,418

2 706, 418
353, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70749602/2

Therefore the LCM of Fractions 9526/706,7427/418 is 35374801

Greatest Common Factor of 706,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,418 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 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 706,418 . The biggest common factor number is the GCF number.
So the greatest common factor 706,418 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9526/706, 7427/418

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 9526/706, 7427/418?

Answer: LCM of Numerators as per given numbers 9526/706, 7427/418 is

LCM of Numerators i.e. for 9526,7427 is 70749602

GCF of denominators i.e. for 706,418 is 2.

Thus, LCM of Fractions is 35374801.Finally, LCM of Fractions for 9526/706, 7427/418 is 35374801.