Least Common Multiple of 48/578, 662/22, 505/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/578, 662/22, 505/292 quickly i.e. 4011720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/578, 662/22, 505/292 is 4011720.

LCM(48/578, 662/22, 505/292) = 4011720

LCM of 48/578, 662/22, 505/292

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 48/578,662/22,505/292

Given numbers are 48/578,662/22,505/292

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 48,662,505

Least Common Multiple of Numerators i.e. LCM of 48,662,505 is 8023440.

GCF of Denominators means GCF of 578,22,292 as per the given fractions.

GCF of 578,22,292 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,662,505

LCM of Fractions 48/578,662/22,505/292 is 4011720

2 48, 662, 505
24, 331, 505

∴ So the LCM of the given numbers is 2 x 24 x 331 x 505 = 8023440

Least Common Multiple of 48,662,505 with GCF Formula

Least Common Multiple of 48,662,505 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 48,662,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,662,505) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(48,662,505) x common factors =1 x 2 = 2

LCM(48,662,505) = ( 48 × 662 × 505 ) / 2

LCM(48,662,505) = 16046880 / 2

LCM(48,662,505) = 8023440


Lets's calculate GCF of 578,22,292

2 578, 22, 292
289, 11, 146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8023440/2

Therefore the LCM of Fractions 48/578,662/22,505/292 is 4011720

Greatest Common Factor of 578,22,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,22,292 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 578,22,292 . The biggest common factor number is the GCF number.
So the greatest common factor 578,22,292 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 48/578, 662/22, 505/292

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 48/578, 662/22, 505/292?

Answer: LCM of Numerators as per given numbers 48/578, 662/22, 505/292 is

LCM of Numerators i.e. for 48,662,505 is 8023440

GCF of denominators i.e. for 578,22,292 is 2.

Thus, LCM of Fractions is 4011720.Finally, LCM of Fractions for 48/578, 662/22, 505/292 is 4011720.