Least Common Multiple of 9658/456, 4297/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9658/456, 4297/978 quickly i.e. 41500426/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9658/456, 4297/978 is 41500426/6.

LCM(9658/456, 4297/978) = 41500426/6

LCM of 9658/456, 4297/978

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 9658/456,4297/978

Given numbers are 9658/456,4297/978

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 9658,4297

Least Common Multiple of Numerators i.e. LCM of 9658,4297 is 41500426.

GCF of Denominators means GCF of 456,978 as per the given fractions.

GCF of 456,978 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9658,4297

LCM of Fractions 9658/456,4297/978 is 41500426/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 41500426

Least Common Multiple of 9658,4297 with GCF Formula

Least Common Multiple of 9658,4297 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 9658,4297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9658,4297) = 1

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

GCF(9658,4297) x common factors =1 x 1 = 1

LCM(9658,4297) = ( 9658 × 4297 ) / 1

LCM(9658,4297) = 41500426 / 1

LCM(9658,4297) = 41500426


Lets's calculate GCF of 456,978

2 456, 978
3 228, 489
76, 163

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41500426/6

Therefore the LCM of Fractions 9658/456,4297/978 is 41500426/6

Greatest Common Factor of 456,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,978 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 456,978 . The biggest common factor number is the GCF number.
So the greatest common factor 456,978 is 6.


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 9658/456, 4297/978

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 9658/456, 4297/978?

Answer: LCM of Numerators as per given numbers 9658/456, 4297/978 is

LCM of Numerators i.e. for 9658,4297 is 41500426

GCF of denominators i.e. for 456,978 is 6.

Thus, LCM of Fractions is 41500426/6.Finally, LCM of Fractions for 9658/456, 4297/978 is 41500426/6.