Least Common Multiple of 7170/264, 1190/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7170/264, 1190/176 quickly i.e. 853230/88 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7170/264, 1190/176 is 853230/88.

LCM(7170/264, 1190/176) = 853230/88

LCM of 7170/264, 1190/176

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 7170/264,1190/176

Given numbers are 7170/264,1190/176

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 7170,1190

Least Common Multiple of Numerators i.e. LCM of 7170,1190 is 853230.

GCF of Denominators means GCF of 264,176 as per the given fractions.

GCF of 264,176 is 88 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7170,1190

LCM of Fractions 7170/264,1190/176 is 853230/88

2 7170, 1190
5 3585, 595
717, 119

∴ So the LCM of the given numbers is 2 x 5 x 717 x 119 = 853230

Least Common Multiple of 7170,1190 with GCF Formula

Least Common Multiple of 7170,1190 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 7170,1190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7170,1190) = 10

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

GCF(7170,1190) x common factors =10 x 1 = 10

LCM(7170,1190) = ( 7170 × 1190 ) / 10

LCM(7170,1190) = 8532300 / 10

LCM(7170,1190) = 853230


Lets's calculate GCF of 264,176

2 264, 176
2 132, 88
2 66, 44
11 33, 22
3, 2

∴ So the GCF of the given numbers is 2 x 2 x 2 x 11 = 88

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 853230/88

Therefore the LCM of Fractions 7170/264,1190/176 is 853230/88

Greatest Common Factor of 264,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,176 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 264,176 . The biggest common factor number is the GCF number.
So the greatest common factor 264,176 is 88.


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 7170/264, 1190/176

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 7170/264, 1190/176?

Answer: LCM of Numerators as per given numbers 7170/264, 1190/176 is

LCM of Numerators i.e. for 7170,1190 is 853230

GCF of denominators i.e. for 264,176 is 88.

Thus, LCM of Fractions is 853230/88.Finally, LCM of Fractions for 7170/264, 1190/176 is 853230/88.