Least Common Multiple of 892/620, 675/465, 846/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 892/620, 675/465, 846/536 quickly i.e. 28298700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 892/620, 675/465, 846/536 is 28298700.

LCM(892/620, 675/465, 846/536) = 28298700

LCM of 892/620, 675/465, 846/536

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 892/620,675/465,846/536

Given numbers are 892/620,675/465,846/536

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 892,675,846

Least Common Multiple of Numerators i.e. LCM of 892,675,846 is 28298700.

GCF of Denominators means GCF of 620,465,536 as per the given fractions.

GCF of 620,465,536 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 892,675,846

LCM of Fractions 892/620,675/465,846/536 is 28298700

2 892, 675, 846
3 446, 675, 423
3 446, 225, 141
446, 75, 47

∴ So the LCM of the given numbers is 2 x 3 x 3 x 446 x 75 x 47 = 28298700

Least Common Multiple of 892,675,846 with GCF Formula

Least Common Multiple of 892,675,846 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 892,675,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,675,846) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(892,675,846) x common factors =1 x 18 = 18

LCM(892,675,846) = ( 892 × 675 × 846 ) / 18

LCM(892,675,846) = 509376600 / 18

LCM(892,675,846) = 28298700


Lets's calculate GCF of 620,465,536

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28298700/1

Therefore the LCM of Fractions 892/620,675/465,846/536 is 28298700

Greatest Common Factor of 620,465,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,465,536 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 620,465,536 . The biggest common factor number is the GCF number.
So the greatest common factor 620,465,536 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 892/620, 675/465, 846/536

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 892/620, 675/465, 846/536?

Answer: LCM of Numerators as per given numbers 892/620, 675/465, 846/536 is

LCM of Numerators i.e. for 892,675,846 is 28298700

GCF of denominators i.e. for 620,465,536 is 1.

Thus, LCM of Fractions is 28298700.Finally, LCM of Fractions for 892/620, 675/465, 846/536 is 28298700.