Least Common Multiple of 170/840, 583/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 170/840, 583/750 quickly i.e. 99110/30 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 170/840, 583/750 is 99110/30.

LCM(170/840, 583/750) = 99110/30

LCM of 170/840, 583/750

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 170/840,583/750

Given numbers are 170/840,583/750

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 170,583

Least Common Multiple of Numerators i.e. LCM of 170,583 is 99110.

GCF of Denominators means GCF of 840,750 as per the given fractions.

GCF of 840,750 is 30 as it is the largest common factor for these numbers.

Lets's calculate LCM of 170,583

LCM of Fractions 170/840,583/750 is 99110/30

Given numbers has no common factors except 1. So, there LCM is their product i.e 99110

Least Common Multiple of 170,583 with GCF Formula

Least Common Multiple of 170,583 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 170,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,583) = 1

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

GCF(170,583) x common factors =1 x 1 = 1

LCM(170,583) = ( 170 × 583 ) / 1

LCM(170,583) = 99110 / 1

LCM(170,583) = 99110


Lets's calculate GCF of 840,750

2 840, 750
3 420, 375
5 140, 125
28, 25

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99110/30

Therefore the LCM of Fractions 170/840,583/750 is 99110/30

Greatest Common Factor of 840,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,750 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 840,750 . The biggest common factor number is the GCF number.
So the greatest common factor 840,750 is 30.


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 170/840, 583/750

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 170/840, 583/750?

Answer: LCM of Numerators as per given numbers 170/840, 583/750 is

LCM of Numerators i.e. for 170,583 is 99110

GCF of denominators i.e. for 840,750 is 30.

Thus, LCM of Fractions is 99110/30.Finally, LCM of Fractions for 170/840, 583/750 is 99110/30.