Least Common Multiple of 1209/757, 1040/2119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1209/757, 1040/2119 quickly i.e. 96720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1209/757, 1040/2119 is 96720.

LCM(1209/757, 1040/2119) = 96720

LCM of 1209/757, 1040/2119

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 1209/757,1040/2119

Given numbers are 1209/757,1040/2119

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 1209,1040

Least Common Multiple of Numerators i.e. LCM of 1209,1040 is 96720.

GCF of Denominators means GCF of 757,2119 as per the given fractions.

GCF of 757,2119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1209,1040

LCM of Fractions 1209/757,1040/2119 is 96720

13 1209, 1040
93, 80

∴ So the LCM of the given numbers is 13 x 93 x 80 = 96720

Least Common Multiple of 1209,1040 with GCF Formula

Least Common Multiple of 1209,1040 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 1209,1040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1209,1040) = 13

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

GCF(1209,1040) x common factors =13 x 1 = 13

LCM(1209,1040) = ( 1209 × 1040 ) / 13

LCM(1209,1040) = 1257360 / 13

LCM(1209,1040) = 96720


Lets's calculate GCF of 757,2119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96720/1

Therefore the LCM of Fractions 1209/757,1040/2119 is 96720

Greatest Common Factor of 757,2119 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,2119 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 2119

List of positive integer factors of 2119 that divides 2119 without a remainder.

1,13,163,2119

Greatest Common Factor

We found the factors 757,2119 . The biggest common factor number is the GCF number.
So the greatest common factor 757,2119 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 1209/757, 1040/2119

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 1209/757, 1040/2119?

Answer: LCM of Numerators as per given numbers 1209/757, 1040/2119 is

LCM of Numerators i.e. for 1209,1040 is 96720

GCF of denominators i.e. for 757,2119 is 1.

Thus, LCM of Fractions is 96720.Finally, LCM of Fractions for 1209/757, 1040/2119 is 96720.