Least Common Multiple of 69/830, 1097/5607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/830, 1097/5607 quickly i.e. 75693 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/830, 1097/5607 is 75693.

LCM(69/830, 1097/5607) = 75693

LCM of 69/830, 1097/5607

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 69/830,1097/5607

Given numbers are 69/830,1097/5607

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 69,1097

Least Common Multiple of Numerators i.e. LCM of 69,1097 is 75693.

GCF of Denominators means GCF of 830,5607 as per the given fractions.

GCF of 830,5607 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,1097

LCM of Fractions 69/830,1097/5607 is 75693

Given numbers has no common factors except 1. So, there LCM is their product i.e 75693

Least Common Multiple of 69,1097 with GCF Formula

Least Common Multiple of 69,1097 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 69,1097 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,1097) = 1

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

GCF(69,1097) x common factors =1 x 1 = 1

LCM(69,1097) = ( 69 × 1097 ) / 1

LCM(69,1097) = 75693 / 1

LCM(69,1097) = 75693


Lets's calculate GCF of 830,5607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75693/1

Therefore the LCM of Fractions 69/830,1097/5607 is 75693

Greatest Common Factor of 830,5607 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,5607 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 5607

List of positive integer factors of 5607 that divides 5607 without a remainder.

1,3,7,9,21,63,89,267,623,801,1869,5607

Greatest Common Factor

We found the factors 830,5607 . The biggest common factor number is the GCF number.
So the greatest common factor 830,5607 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/830, 1097/5607

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 69/830, 1097/5607?

Answer: LCM of Numerators as per given numbers 69/830, 1097/5607 is

LCM of Numerators i.e. for 69,1097 is 75693

GCF of denominators i.e. for 830,5607 is 1.

Thus, LCM of Fractions is 75693.Finally, LCM of Fractions for 69/830, 1097/5607 is 75693.