Least Common Multiple of 185/69, 893/56, 862/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 185/69, 893/56, 862/894 quickly i.e. 142406710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 185/69, 893/56, 862/894 is 142406710.

LCM(185/69, 893/56, 862/894) = 142406710

LCM of 185/69, 893/56, 862/894

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 185/69,893/56,862/894

Given numbers are 185/69,893/56,862/894

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 185,893,862

Least Common Multiple of Numerators i.e. LCM of 185,893,862 is 142406710.

GCF of Denominators means GCF of 69,56,894 as per the given fractions.

GCF of 69,56,894 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 185,893,862

LCM of Fractions 185/69,893/56,862/894 is 142406710

Given numbers has no common factors except 1. So, there LCM is their product i.e 142406710

Least Common Multiple of 185,893,862 with GCF Formula

Least Common Multiple of 185,893,862 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 185,893,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,893,862) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(185,893,862) x common factors =1 x 1 = 1

LCM(185,893,862) = ( 185 × 893 × 862 ) / 1

LCM(185,893,862) = 142406710 / 1

LCM(185,893,862) = 142406710


Lets's calculate GCF of 69,56,894

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142406710/1

Therefore the LCM of Fractions 185/69,893/56,862/894 is 142406710

Greatest Common Factor of 69,56,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,56,894 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 69,56,894 . The biggest common factor number is the GCF number.
So the greatest common factor 69,56,894 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 185/69, 893/56, 862/894

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 185/69, 893/56, 862/894?

Answer: LCM of Numerators as per given numbers 185/69, 893/56, 862/894 is

LCM of Numerators i.e. for 185,893,862 is 142406710

GCF of denominators i.e. for 69,56,894 is 1.

Thus, LCM of Fractions is 142406710.Finally, LCM of Fractions for 185/69, 893/56, 862/894 is 142406710.