Least Common Multiple of 321/153, 898/150, 485/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 321/153, 898/150, 485/734 quickly i.e. 139805130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/153, 898/150, 485/734 is 139805130.

LCM(321/153, 898/150, 485/734) = 139805130

LCM of 321/153, 898/150, 485/734

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 321/153,898/150,485/734

Given numbers are 321/153,898/150,485/734

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 321,898,485

Least Common Multiple of Numerators i.e. LCM of 321,898,485 is 139805130.

GCF of Denominators means GCF of 153,150,734 as per the given fractions.

GCF of 153,150,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,898,485

LCM of Fractions 321/153,898/150,485/734 is 139805130

Given numbers has no common factors except 1. So, there LCM is their product i.e 139805130

Least Common Multiple of 321,898,485 with GCF Formula

Least Common Multiple of 321,898,485 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 321,898,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,898,485) = 1

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

GCF(321,898,485) x common factors =1 x 1 = 1

LCM(321,898,485) = ( 321 × 898 × 485 ) / 1

LCM(321,898,485) = 139805130 / 1

LCM(321,898,485) = 139805130


Lets's calculate GCF of 153,150,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139805130/1

Therefore the LCM of Fractions 321/153,898/150,485/734 is 139805130

Greatest Common Factor of 153,150,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,150,734 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 153,150,734 . The biggest common factor number is the GCF number.
So the greatest common factor 153,150,734 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 321/153, 898/150, 485/734

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 321/153, 898/150, 485/734?

Answer: LCM of Numerators as per given numbers 321/153, 898/150, 485/734 is

LCM of Numerators i.e. for 321,898,485 is 139805130

GCF of denominators i.e. for 153,150,734 is 1.

Thus, LCM of Fractions is 139805130.Finally, LCM of Fractions for 321/153, 898/150, 485/734 is 139805130.