Least Common Multiple of 32/392, 52/499, 870/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/392, 52/499, 870/604 quickly i.e. 180960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/392, 52/499, 870/604 is 180960.

LCM(32/392, 52/499, 870/604) = 180960

LCM of 32/392, 52/499, 870/604

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 32/392,52/499,870/604

Given numbers are 32/392,52/499,870/604

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 32,52,870

Least Common Multiple of Numerators i.e. LCM of 32,52,870 is 180960.

GCF of Denominators means GCF of 392,499,604 as per the given fractions.

GCF of 392,499,604 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,52,870

LCM of Fractions 32/392,52/499,870/604 is 180960

2 32, 52, 870
2 16, 26, 435
8, 13, 435

∴ So the LCM of the given numbers is 2 x 2 x 8 x 13 x 435 = 180960

Least Common Multiple of 32,52,870 with GCF Formula

Least Common Multiple of 32,52,870 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 32,52,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,52,870) = 2

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

GCF(32,52,870) x common factors =2 x 4 = 8

LCM(32,52,870) = ( 32 × 52 × 870 ) / 8

LCM(32,52,870) = 1447680 / 8

LCM(32,52,870) = 180960


Lets's calculate GCF of 392,499,604

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180960/1

Therefore the LCM of Fractions 32/392,52/499,870/604 is 180960

Greatest Common Factor of 392,499,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,499,604 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 392,499,604 . The biggest common factor number is the GCF number.
So the greatest common factor 392,499,604 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 32/392, 52/499, 870/604

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 32/392, 52/499, 870/604?

Answer: LCM of Numerators as per given numbers 32/392, 52/499, 870/604 is

LCM of Numerators i.e. for 32,52,870 is 180960

GCF of denominators i.e. for 392,499,604 is 1.

Thus, LCM of Fractions is 180960.Finally, LCM of Fractions for 32/392, 52/499, 870/604 is 180960.