Least Common Multiple of 9658/314, 3454/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9658/314, 3454/702 quickly i.e. 758153 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9658/314, 3454/702 is 758153.

LCM(9658/314, 3454/702) = 758153

LCM of 9658/314, 3454/702

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 9658/314,3454/702

Given numbers are 9658/314,3454/702

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 9658,3454

Least Common Multiple of Numerators i.e. LCM of 9658,3454 is 1516306.

GCF of Denominators means GCF of 314,702 as per the given fractions.

GCF of 314,702 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9658,3454

LCM of Fractions 9658/314,3454/702 is 758153

2 9658, 3454
11 4829, 1727
439, 157

∴ So the LCM of the given numbers is 2 x 11 x 439 x 157 = 1516306

Least Common Multiple of 9658,3454 with GCF Formula

Least Common Multiple of 9658,3454 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 9658,3454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9658,3454) = 22

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

GCF(9658,3454) x common factors =22 x 1 = 22

LCM(9658,3454) = ( 9658 × 3454 ) / 22

LCM(9658,3454) = 33358732 / 22

LCM(9658,3454) = 1516306


Lets's calculate GCF of 314,702

2 314, 702
157, 351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1516306/2

Therefore the LCM of Fractions 9658/314,3454/702 is 758153

Greatest Common Factor of 314,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,702 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 314,702 . The biggest common factor number is the GCF number.
So the greatest common factor 314,702 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 9658/314, 3454/702

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 9658/314, 3454/702?

Answer: LCM of Numerators as per given numbers 9658/314, 3454/702 is

LCM of Numerators i.e. for 9658,3454 is 1516306

GCF of denominators i.e. for 314,702 is 2.

Thus, LCM of Fractions is 758153.Finally, LCM of Fractions for 9658/314, 3454/702 is 758153.