Least Common Multiple of 11/10, 834/30, 754/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/10, 834/30, 754/198 quickly i.e. 1729299 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/10, 834/30, 754/198 is 1729299.

LCM(11/10, 834/30, 754/198) = 1729299

LCM of 11/10, 834/30, 754/198

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 11/10,834/30,754/198

Given numbers are 11/10,834/30,754/198

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 11,834,754

Least Common Multiple of Numerators i.e. LCM of 11,834,754 is 3458598.

GCF of Denominators means GCF of 10,30,198 as per the given fractions.

GCF of 10,30,198 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,834,754

LCM of Fractions 11/10,834/30,754/198 is 1729299

2 11, 834, 754
11, 417, 377

∴ So the LCM of the given numbers is 2 x 11 x 417 x 377 = 3458598

Least Common Multiple of 11,834,754 with GCF Formula

Least Common Multiple of 11,834,754 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 11,834,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,834,754) = 1

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

GCF(11,834,754) x common factors =1 x 2 = 2

LCM(11,834,754) = ( 11 × 834 × 754 ) / 2

LCM(11,834,754) = 6917196 / 2

LCM(11,834,754) = 3458598


Lets's calculate GCF of 10,30,198

2 10, 30, 198
5, 15, 99

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3458598/2

Therefore the LCM of Fractions 11/10,834/30,754/198 is 1729299

Greatest Common Factor of 10,30,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,30,198 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 10,30,198 . The biggest common factor number is the GCF number.
So the greatest common factor 10,30,198 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 11/10, 834/30, 754/198

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 11/10, 834/30, 754/198?

Answer: LCM of Numerators as per given numbers 11/10, 834/30, 754/198 is

LCM of Numerators i.e. for 11,834,754 is 3458598

GCF of denominators i.e. for 10,30,198 is 2.

Thus, LCM of Fractions is 1729299.Finally, LCM of Fractions for 11/10, 834/30, 754/198 is 1729299.