Least Common Multiple of 893/762, 892/449, 361/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 893/762, 892/449, 361/420 quickly i.e. 15134564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 893/762, 892/449, 361/420 is 15134564.

LCM(893/762, 892/449, 361/420) = 15134564

LCM of 893/762, 892/449, 361/420

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 893/762,892/449,361/420

Given numbers are 893/762,892/449,361/420

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 893,892,361

Least Common Multiple of Numerators i.e. LCM of 893,892,361 is 15134564.

GCF of Denominators means GCF of 762,449,420 as per the given fractions.

GCF of 762,449,420 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 893,892,361

LCM of Fractions 893/762,892/449,361/420 is 15134564

19 893, 892, 361
47, 892, 19

∴ So the LCM of the given numbers is 19 x 47 x 892 x 19 = 15134564

Least Common Multiple of 893,892,361 with GCF Formula

Least Common Multiple of 893,892,361 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 893,892,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,892,361) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(893,892,361) x common factors =1 x 19 = 19

LCM(893,892,361) = ( 893 × 892 × 361 ) / 19

LCM(893,892,361) = 287556716 / 19

LCM(893,892,361) = 15134564


Lets's calculate GCF of 762,449,420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15134564/1

Therefore the LCM of Fractions 893/762,892/449,361/420 is 15134564

Greatest Common Factor of 762,449,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,449,420 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 762,449,420 . The biggest common factor number is the GCF number.
So the greatest common factor 762,449,420 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 893/762, 892/449, 361/420

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 893/762, 892/449, 361/420?

Answer: LCM of Numerators as per given numbers 893/762, 892/449, 361/420 is

LCM of Numerators i.e. for 893,892,361 is 15134564

GCF of denominators i.e. for 762,449,420 is 1.

Thus, LCM of Fractions is 15134564.Finally, LCM of Fractions for 893/762, 892/449, 361/420 is 15134564.