Least Common Multiple of 830/88, 8827/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 830/88, 8827/174 quickly i.e. 3663205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 830/88, 8827/174 is 3663205.

LCM(830/88, 8827/174) = 3663205

LCM of 830/88, 8827/174

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 830/88,8827/174

Given numbers are 830/88,8827/174

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 830,8827

Least Common Multiple of Numerators i.e. LCM of 830,8827 is 7326410.

GCF of Denominators means GCF of 88,174 as per the given fractions.

GCF of 88,174 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 830,8827

LCM of Fractions 830/88,8827/174 is 3663205

Given numbers has no common factors except 1. So, there LCM is their product i.e 7326410

Least Common Multiple of 830,8827 with GCF Formula

Least Common Multiple of 830,8827 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 830,8827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,8827) = 1

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

GCF(830,8827) x common factors =1 x 1 = 1

LCM(830,8827) = ( 830 × 8827 ) / 1

LCM(830,8827) = 7326410 / 1

LCM(830,8827) = 7326410


Lets's calculate GCF of 88,174

2 88, 174
44, 87

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7326410/2

Therefore the LCM of Fractions 830/88,8827/174 is 3663205

Greatest Common Factor of 88,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,174 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 88,174 . The biggest common factor number is the GCF number.
So the greatest common factor 88,174 is 2.


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Frequently Asked Questions on Fractional LCM of 830/88, 8827/174

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 830/88, 8827/174?

Answer: LCM of Numerators as per given numbers 830/88, 8827/174 is

LCM of Numerators i.e. for 830,8827 is 7326410

GCF of denominators i.e. for 88,174 is 2.

Thus, LCM of Fractions is 3663205.Finally, LCM of Fractions for 830/88, 8827/174 is 3663205.