Least Common Multiple of 770/923, 1797/1560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 770/923, 1797/1560 quickly i.e. 1383690/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 770/923, 1797/1560 is 1383690/13.

LCM(770/923, 1797/1560) = 1383690/13

LCM of 770/923, 1797/1560

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 770/923,1797/1560

Given numbers are 770/923,1797/1560

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 770,1797

Least Common Multiple of Numerators i.e. LCM of 770,1797 is 1383690.

GCF of Denominators means GCF of 923,1560 as per the given fractions.

GCF of 923,1560 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 770,1797

LCM of Fractions 770/923,1797/1560 is 1383690/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 1383690

Least Common Multiple of 770,1797 with GCF Formula

Least Common Multiple of 770,1797 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 770,1797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,1797) = 1

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

GCF(770,1797) x common factors =1 x 1 = 1

LCM(770,1797) = ( 770 × 1797 ) / 1

LCM(770,1797) = 1383690 / 1

LCM(770,1797) = 1383690


Lets's calculate GCF of 923,1560

13 923, 1560
71, 120

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1383690/13

Therefore the LCM of Fractions 770/923,1797/1560 is 1383690/13

Greatest Common Factor of 923,1560 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,1560 By Matching Biggest Common Factor Method

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 1560

List of positive integer factors of 1560 that divides 1560 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,20,24,26,30,39,40,52,60,65,78,104,120,130,156,195,260,312,390,520,780,1560

Greatest Common Factor

We found the factors 923,1560 . The biggest common factor number is the GCF number.
So the greatest common factor 923,1560 is 13.


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 770/923, 1797/1560

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 770/923, 1797/1560?

Answer: LCM of Numerators as per given numbers 770/923, 1797/1560 is

LCM of Numerators i.e. for 770,1797 is 1383690

GCF of denominators i.e. for 923,1560 is 13.

Thus, LCM of Fractions is 1383690/13.Finally, LCM of Fractions for 770/923, 1797/1560 is 1383690/13.