Least Common Multiple of 69/110, 10/500, 770/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/110, 10/500, 770/153 quickly i.e. 53130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/110, 10/500, 770/153 is 53130.

LCM(69/110, 10/500, 770/153) = 53130

LCM of 69/110, 10/500, 770/153

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 69/110,10/500,770/153

Given numbers are 69/110,10/500,770/153

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 69,10,770

Least Common Multiple of Numerators i.e. LCM of 69,10,770 is 53130.

GCF of Denominators means GCF of 110,500,153 as per the given fractions.

GCF of 110,500,153 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,10,770

LCM of Fractions 69/110,10/500,770/153 is 53130

2 69, 10, 770
5 69, 5, 385
69, 1, 77

∴ So the LCM of the given numbers is 2 x 5 x 69 x 1 x 77 = 53130

Least Common Multiple of 69,10,770 with GCF Formula

Least Common Multiple of 69,10,770 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 69,10,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,10,770) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(69,10,770) x common factors =1 x 10 = 10

LCM(69,10,770) = ( 69 × 10 × 770 ) / 10

LCM(69,10,770) = 531300 / 10

LCM(69,10,770) = 53130


Lets's calculate GCF of 110,500,153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53130/1

Therefore the LCM of Fractions 69/110,10/500,770/153 is 53130

Greatest Common Factor of 110,500,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,500,153 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 153

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

1,3,9,17,51,153

Greatest Common Factor

We found the factors 110,500,153 . The biggest common factor number is the GCF number.
So the greatest common factor 110,500,153 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 69/110, 10/500, 770/153

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 69/110, 10/500, 770/153?

Answer: LCM of Numerators as per given numbers 69/110, 10/500, 770/153 is

LCM of Numerators i.e. for 69,10,770 is 53130

GCF of denominators i.e. for 110,500,153 is 1.

Thus, LCM of Fractions is 53130.Finally, LCM of Fractions for 69/110, 10/500, 770/153 is 53130.