Least Common Multiple of 228/964, 739/490, 448/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 228/964, 739/490, 448/454 quickly i.e. 9435552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 228/964, 739/490, 448/454 is 9435552.

LCM(228/964, 739/490, 448/454) = 9435552

LCM of 228/964, 739/490, 448/454

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 228/964,739/490,448/454

Given numbers are 228/964,739/490,448/454

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 228,739,448

Least Common Multiple of Numerators i.e. LCM of 228,739,448 is 18871104.

GCF of Denominators means GCF of 964,490,454 as per the given fractions.

GCF of 964,490,454 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 228,739,448

LCM of Fractions 228/964,739/490,448/454 is 9435552

2 228, 739, 448
2 114, 739, 224
57, 739, 112

∴ So the LCM of the given numbers is 2 x 2 x 57 x 739 x 112 = 18871104

Least Common Multiple of 228,739,448 with GCF Formula

Least Common Multiple of 228,739,448 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 228,739,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,739,448) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(228,739,448) x common factors =1 x 4 = 4

LCM(228,739,448) = ( 228 × 739 × 448 ) / 4

LCM(228,739,448) = 75484416 / 4

LCM(228,739,448) = 18871104


Lets's calculate GCF of 964,490,454

2 964, 490, 454
482, 245, 227

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18871104/2

Therefore the LCM of Fractions 228/964,739/490,448/454 is 9435552

Greatest Common Factor of 964,490,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,490,454 By Matching Biggest Common Factor Method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 964,490,454 . The biggest common factor number is the GCF number.
So the greatest common factor 964,490,454 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 228/964, 739/490, 448/454

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 228/964, 739/490, 448/454?

Answer: LCM of Numerators as per given numbers 228/964, 739/490, 448/454 is

LCM of Numerators i.e. for 228,739,448 is 18871104

GCF of denominators i.e. for 964,490,454 is 2.

Thus, LCM of Fractions is 9435552.Finally, LCM of Fractions for 228/964, 739/490, 448/454 is 9435552.