Least Common Multiple of 72/88, 70/34, 190/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 72/88, 70/34, 190/527 quickly i.e. 47880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/88, 70/34, 190/527 is 47880.

LCM(72/88, 70/34, 190/527) = 47880

LCM of 72/88, 70/34, 190/527

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 72/88,70/34,190/527

Given numbers are 72/88,70/34,190/527

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 72,70,190

Least Common Multiple of Numerators i.e. LCM of 72,70,190 is 47880.

GCF of Denominators means GCF of 88,34,527 as per the given fractions.

GCF of 88,34,527 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,70,190

LCM of Fractions 72/88,70/34,190/527 is 47880

2 72, 70, 190
5 36, 35, 95
36, 7, 19

∴ So the LCM of the given numbers is 2 x 5 x 36 x 7 x 19 = 47880

Least Common Multiple of 72,70,190 with GCF Formula

Least Common Multiple of 72,70,190 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 72,70,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,70,190) = 2

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

GCF(72,70,190) x common factors =2 x 10 = 20

LCM(72,70,190) = ( 72 × 70 × 190 ) / 20

LCM(72,70,190) = 957600 / 20

LCM(72,70,190) = 47880


Lets's calculate GCF of 88,34,527

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47880/1

Therefore the LCM of Fractions 72/88,70/34,190/527 is 47880

Greatest Common Factor of 88,34,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,34,527 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 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 88,34,527 . The biggest common factor number is the GCF number.
So the greatest common factor 88,34,527 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 72/88, 70/34, 190/527

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 72/88, 70/34, 190/527?

Answer: LCM of Numerators as per given numbers 72/88, 70/34, 190/527 is

LCM of Numerators i.e. for 72,70,190 is 47880

GCF of denominators i.e. for 88,34,527 is 1.

Thus, LCM of Fractions is 47880.Finally, LCM of Fractions for 72/88, 70/34, 190/527 is 47880.