Least Common Multiple of 154/82, 366/14, 330/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 154/82, 366/14, 330/760 quickly i.e. 70455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 154/82, 366/14, 330/760 is 70455.

LCM(154/82, 366/14, 330/760) = 70455

LCM of 154/82, 366/14, 330/760

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 154/82,366/14,330/760

Given numbers are 154/82,366/14,330/760

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 154,366,330

Least Common Multiple of Numerators i.e. LCM of 154,366,330 is 140910.

GCF of Denominators means GCF of 82,14,760 as per the given fractions.

GCF of 82,14,760 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 154,366,330

LCM of Fractions 154/82,366/14,330/760 is 70455

2 154, 366, 330
3 77, 183, 165
11 77, 61, 55
7, 61, 5

∴ So the LCM of the given numbers is 2 x 3 x 11 x 7 x 61 x 5 = 140910

Least Common Multiple of 154,366,330 with GCF Formula

Least Common Multiple of 154,366,330 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 154,366,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,366,330) = 2

common factors(in case of two or more numbers have common factors) = 66

GCF(154,366,330) x common factors =2 x 66 = 132

LCM(154,366,330) = ( 154 × 366 × 330 ) / 132

LCM(154,366,330) = 18600120 / 132

LCM(154,366,330) = 140910


Lets's calculate GCF of 82,14,760

2 82, 14, 760
41, 7, 380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140910/2

Therefore the LCM of Fractions 154/82,366/14,330/760 is 70455

Greatest Common Factor of 82,14,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,14,760 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 82,14,760 . The biggest common factor number is the GCF number.
So the greatest common factor 82,14,760 is 2.


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 154/82, 366/14, 330/760

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 154/82, 366/14, 330/760?

Answer: LCM of Numerators as per given numbers 154/82, 366/14, 330/760 is

LCM of Numerators i.e. for 154,366,330 is 140910

GCF of denominators i.e. for 82,14,760 is 2.

Thus, LCM of Fractions is 70455.Finally, LCM of Fractions for 154/82, 366/14, 330/760 is 70455.