Least Common Multiple of 76/455, 589/250, 478/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/455, 589/250, 478/978 quickly i.e. 563084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/455, 589/250, 478/978 is 563084.

LCM(76/455, 589/250, 478/978) = 563084

LCM of 76/455, 589/250, 478/978

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 76/455,589/250,478/978

Given numbers are 76/455,589/250,478/978

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 76,589,478

Least Common Multiple of Numerators i.e. LCM of 76,589,478 is 563084.

GCF of Denominators means GCF of 455,250,978 as per the given fractions.

GCF of 455,250,978 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,589,478

LCM of Fractions 76/455,589/250,478/978 is 563084

2 76, 589, 478
19 38, 589, 239
2, 31, 239

∴ So the LCM of the given numbers is 2 x 19 x 2 x 31 x 239 = 563084

Least Common Multiple of 76,589,478 with GCF Formula

Least Common Multiple of 76,589,478 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 76,589,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,589,478) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(76,589,478) x common factors =1 x 38 = 38

LCM(76,589,478) = ( 76 × 589 × 478 ) / 38

LCM(76,589,478) = 21397192 / 38

LCM(76,589,478) = 563084


Lets's calculate GCF of 455,250,978

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 563084/1

Therefore the LCM of Fractions 76/455,589/250,478/978 is 563084

Greatest Common Factor of 455,250,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,250,978 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

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 455,250,978 . The biggest common factor number is the GCF number.
So the greatest common factor 455,250,978 is 1.


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 76/455, 589/250, 478/978

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 76/455, 589/250, 478/978?

Answer: LCM of Numerators as per given numbers 76/455, 589/250, 478/978 is

LCM of Numerators i.e. for 76,589,478 is 563084

GCF of denominators i.e. for 455,250,978 is 1.

Thus, LCM of Fractions is 563084.Finally, LCM of Fractions for 76/455, 589/250, 478/978 is 563084.