Least Common Multiple of 48/672, 590/349, 892/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/672, 590/349, 892/471 quickly i.e. 3157680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/672, 590/349, 892/471 is 3157680.

LCM(48/672, 590/349, 892/471) = 3157680

LCM of 48/672, 590/349, 892/471

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 48/672,590/349,892/471

Given numbers are 48/672,590/349,892/471

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 48,590,892

Least Common Multiple of Numerators i.e. LCM of 48,590,892 is 3157680.

GCF of Denominators means GCF of 672,349,471 as per the given fractions.

GCF of 672,349,471 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,590,892

LCM of Fractions 48/672,590/349,892/471 is 3157680

2 48, 590, 892
2 24, 295, 446
12, 295, 223

∴ So the LCM of the given numbers is 2 x 2 x 12 x 295 x 223 = 3157680

Least Common Multiple of 48,590,892 with GCF Formula

Least Common Multiple of 48,590,892 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 48,590,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,590,892) = 2

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

GCF(48,590,892) x common factors =2 x 4 = 8

LCM(48,590,892) = ( 48 × 590 × 892 ) / 8

LCM(48,590,892) = 25261440 / 8

LCM(48,590,892) = 3157680


Lets's calculate GCF of 672,349,471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3157680/1

Therefore the LCM of Fractions 48/672,590/349,892/471 is 3157680

Greatest Common Factor of 672,349,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,349,471 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 672,349,471 . The biggest common factor number is the GCF number.
So the greatest common factor 672,349,471 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 48/672, 590/349, 892/471

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 48/672, 590/349, 892/471?

Answer: LCM of Numerators as per given numbers 48/672, 590/349, 892/471 is

LCM of Numerators i.e. for 48,590,892 is 3157680

GCF of denominators i.e. for 672,349,471 is 1.

Thus, LCM of Fractions is 3157680.Finally, LCM of Fractions for 48/672, 590/349, 892/471 is 3157680.