Least Common Multiple of 196/728, 764/136, 370/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 196/728, 764/136, 370/182 quickly i.e. 3462830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 196/728, 764/136, 370/182 is 3462830.

LCM(196/728, 764/136, 370/182) = 3462830

LCM of 196/728, 764/136, 370/182

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 196/728,764/136,370/182

Given numbers are 196/728,764/136,370/182

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 196,764,370

Least Common Multiple of Numerators i.e. LCM of 196,764,370 is 6925660.

GCF of Denominators means GCF of 728,136,182 as per the given fractions.

GCF of 728,136,182 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 196,764,370

LCM of Fractions 196/728,764/136,370/182 is 3462830

2 196, 764, 370
2 98, 382, 185
49, 191, 185

∴ So the LCM of the given numbers is 2 x 2 x 49 x 191 x 185 = 6925660

Least Common Multiple of 196,764,370 with GCF Formula

Least Common Multiple of 196,764,370 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 196,764,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,764,370) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(196,764,370) x common factors =2 x 4 = 8

LCM(196,764,370) = ( 196 × 764 × 370 ) / 8

LCM(196,764,370) = 55405280 / 8

LCM(196,764,370) = 6925660


Lets's calculate GCF of 728,136,182

2 728, 136, 182
364, 68, 91

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6925660/2

Therefore the LCM of Fractions 196/728,764/136,370/182 is 3462830

Greatest Common Factor of 728,136,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,136,182 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 728,136,182 . The biggest common factor number is the GCF number.
So the greatest common factor 728,136,182 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 196/728, 764/136, 370/182

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 196/728, 764/136, 370/182?

Answer: LCM of Numerators as per given numbers 196/728, 764/136, 370/182 is

LCM of Numerators i.e. for 196,764,370 is 6925660

GCF of denominators i.e. for 728,136,182 is 2.

Thus, LCM of Fractions is 3462830.Finally, LCM of Fractions for 196/728, 764/136, 370/182 is 3462830.