Least Common Multiple of 9600/840, 1769/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9600/840, 1769/758 quickly i.e. 8491200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9600/840, 1769/758 is 8491200.

LCM(9600/840, 1769/758) = 8491200

LCM of 9600/840, 1769/758

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 9600/840,1769/758

Given numbers are 9600/840,1769/758

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 9600,1769

Least Common Multiple of Numerators i.e. LCM of 9600,1769 is 16982400.

GCF of Denominators means GCF of 840,758 as per the given fractions.

GCF of 840,758 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9600,1769

LCM of Fractions 9600/840,1769/758 is 8491200

Given numbers has no common factors except 1. So, there LCM is their product i.e 16982400

Least Common Multiple of 9600,1769 with GCF Formula

Least Common Multiple of 9600,1769 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 9600,1769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9600,1769) = 1

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

GCF(9600,1769) x common factors =1 x 1 = 1

LCM(9600,1769) = ( 9600 × 1769 ) / 1

LCM(9600,1769) = 16982400 / 1

LCM(9600,1769) = 16982400


Lets's calculate GCF of 840,758

2 840, 758
420, 379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16982400/2

Therefore the LCM of Fractions 9600/840,1769/758 is 8491200

Greatest Common Factor of 840,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,758 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 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 840,758 . The biggest common factor number is the GCF number.
So the greatest common factor 840,758 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 9600/840, 1769/758

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 9600/840, 1769/758?

Answer: LCM of Numerators as per given numbers 9600/840, 1769/758 is

LCM of Numerators i.e. for 9600,1769 is 16982400

GCF of denominators i.e. for 840,758 is 2.

Thus, LCM of Fractions is 8491200.Finally, LCM of Fractions for 9600/840, 1769/758 is 8491200.