Least Common Multiple of 469/64, 669/78, 925/25

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 469/64, 669/78, 925/25 quickly i.e. 290228925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/64, 669/78, 925/25 is 290228925.

LCM(469/64, 669/78, 925/25) = 290228925

LCM of 469/64, 669/78, 925/25

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 469/64,669/78,925/25

Given numbers are 469/64,669/78,925/25

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 469,669,925

Least Common Multiple of Numerators i.e. LCM of 469,669,925 is 290228925.

GCF of Denominators means GCF of 64,78,25 as per the given fractions.

GCF of 64,78,25 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,669,925

LCM of Fractions 469/64,669/78,925/25 is 290228925

Given numbers has no common factors except 1. So, there LCM is their product i.e 290228925

Least Common Multiple of 469,669,925 with GCF Formula

Least Common Multiple of 469,669,925 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 469,669,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,669,925) = 1

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

GCF(469,669,925) x common factors =1 x 1 = 1

LCM(469,669,925) = ( 469 × 669 × 925 ) / 1

LCM(469,669,925) = 290228925 / 1

LCM(469,669,925) = 290228925


Lets's calculate GCF of 64,78,25

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290228925/1

Therefore the LCM of Fractions 469/64,669/78,925/25 is 290228925

Greatest Common Factor of 64,78,25 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,78,25 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Greatest Common Factor

We found the factors 64,78,25 . The biggest common factor number is the GCF number.
So the greatest common factor 64,78,25 is 1.


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Frequently Asked Questions on Fractional LCM of 469/64, 669/78, 925/25

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 469/64, 669/78, 925/25?

Answer: LCM of Numerators as per given numbers 469/64, 669/78, 925/25 is

LCM of Numerators i.e. for 469,669,925 is 290228925

GCF of denominators i.e. for 64,78,25 is 1.

Thus, LCM of Fractions is 290228925.Finally, LCM of Fractions for 469/64, 669/78, 925/25 is 290228925.