Least Common Multiple of 74/162, 1170/4556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/162, 1170/4556 quickly i.e. 21645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/162, 1170/4556 is 21645.

LCM(74/162, 1170/4556) = 21645

LCM of 74/162, 1170/4556

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 74/162,1170/4556

Given numbers are 74/162,1170/4556

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 74,1170

Least Common Multiple of Numerators i.e. LCM of 74,1170 is 43290.

GCF of Denominators means GCF of 162,4556 as per the given fractions.

GCF of 162,4556 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,1170

LCM of Fractions 74/162,1170/4556 is 21645

2 74, 1170
37, 585

∴ So the LCM of the given numbers is 2 x 37 x 585 = 43290

Least Common Multiple of 74,1170 with GCF Formula

Least Common Multiple of 74,1170 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 74,1170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,1170) = 2

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

GCF(74,1170) x common factors =2 x 1 = 2

LCM(74,1170) = ( 74 × 1170 ) / 2

LCM(74,1170) = 86580 / 2

LCM(74,1170) = 43290


Lets's calculate GCF of 162,4556

2 162, 4556
81, 2278

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43290/2

Therefore the LCM of Fractions 74/162,1170/4556 is 21645

Greatest Common Factor of 162,4556 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,4556 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 4556

List of positive integer factors of 4556 that divides 4556 without a remainder.

1,2,4,17,34,67,68,134,268,1139,2278,4556

Greatest Common Factor

We found the factors 162,4556 . The biggest common factor number is the GCF number.
So the greatest common factor 162,4556 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 74/162, 1170/4556

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 74/162, 1170/4556?

Answer: LCM of Numerators as per given numbers 74/162, 1170/4556 is

LCM of Numerators i.e. for 74,1170 is 43290

GCF of denominators i.e. for 162,4556 is 2.

Thus, LCM of Fractions is 21645.Finally, LCM of Fractions for 74/162, 1170/4556 is 21645.