Least Common Multiple of 3/892, 60/846, 75/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/892, 60/846, 75/718 quickly i.e. 150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/892, 60/846, 75/718 is 150.

LCM(3/892, 60/846, 75/718) = 150

LCM of 3/892, 60/846, 75/718

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 3/892,60/846,75/718

Given numbers are 3/892,60/846,75/718

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 3,60,75

Least Common Multiple of Numerators i.e. LCM of 3,60,75 is 300.

GCF of Denominators means GCF of 892,846,718 as per the given fractions.

GCF of 892,846,718 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,60,75

LCM of Fractions 3/892,60/846,75/718 is 150

3 3, 60, 75
5 1, 20, 25
1, 4, 5

∴ So the LCM of the given numbers is 3 x 5 x 1 x 4 x 5 = 300

Least Common Multiple of 3,60,75 with GCF Formula

Least Common Multiple of 3,60,75 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 3,60,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,60,75) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(3,60,75) x common factors =3 x 15 = 45

LCM(3,60,75) = ( 3 × 60 × 75 ) / 45

LCM(3,60,75) = 13500 / 45

LCM(3,60,75) = 300


Lets's calculate GCF of 892,846,718

2 892, 846, 718
446, 423, 359

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300/2

Therefore the LCM of Fractions 3/892,60/846,75/718 is 150

Greatest Common Factor of 892,846,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,846,718 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 892,846,718 . The biggest common factor number is the GCF number.
So the greatest common factor 892,846,718 is 2.


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 3/892, 60/846, 75/718

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 3/892, 60/846, 75/718?

Answer: LCM of Numerators as per given numbers 3/892, 60/846, 75/718 is

LCM of Numerators i.e. for 3,60,75 is 300

GCF of denominators i.e. for 892,846,718 is 2.

Thus, LCM of Fractions is 150.Finally, LCM of Fractions for 3/892, 60/846, 75/718 is 150.