Least Common Multiple of 22/37, 28/88, 619/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 22/37, 28/88, 619/769 quickly i.e. 190652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/37, 28/88, 619/769 is 190652.

LCM(22/37, 28/88, 619/769) = 190652

LCM of 22/37, 28/88, 619/769

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 22/37,28/88,619/769

Given numbers are 22/37,28/88,619/769

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 22,28,619

Least Common Multiple of Numerators i.e. LCM of 22,28,619 is 190652.

GCF of Denominators means GCF of 37,88,769 as per the given fractions.

GCF of 37,88,769 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,28,619

LCM of Fractions 22/37,28/88,619/769 is 190652

2 22, 28, 619
11, 14, 619

∴ So the LCM of the given numbers is 2 x 11 x 14 x 619 = 190652

Least Common Multiple of 22,28,619 with GCF Formula

Least Common Multiple of 22,28,619 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 22,28,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,28,619) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,28,619) x common factors =1 x 2 = 2

LCM(22,28,619) = ( 22 × 28 × 619 ) / 2

LCM(22,28,619) = 381304 / 2

LCM(22,28,619) = 190652


Lets's calculate GCF of 37,88,769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190652/1

Therefore the LCM of Fractions 22/37,28/88,619/769 is 190652

Greatest Common Factor of 37,88,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,88,769 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

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 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 37,88,769 . The biggest common factor number is the GCF number.
So the greatest common factor 37,88,769 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 22/37, 28/88, 619/769

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 22/37, 28/88, 619/769?

Answer: LCM of Numerators as per given numbers 22/37, 28/88, 619/769 is

LCM of Numerators i.e. for 22,28,619 is 190652

GCF of denominators i.e. for 37,88,769 is 1.

Thus, LCM of Fractions is 190652.Finally, LCM of Fractions for 22/37, 28/88, 619/769 is 190652.