Least Common Multiple of 49/338, 38/332, 780/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/338, 38/332, 780/664 quickly i.e. 363090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/338, 38/332, 780/664 is 363090.

LCM(49/338, 38/332, 780/664) = 363090

LCM of 49/338, 38/332, 780/664

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 49/338,38/332,780/664

Given numbers are 49/338,38/332,780/664

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 49,38,780

Least Common Multiple of Numerators i.e. LCM of 49,38,780 is 726180.

GCF of Denominators means GCF of 338,332,664 as per the given fractions.

GCF of 338,332,664 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,38,780

LCM of Fractions 49/338,38/332,780/664 is 363090

2 49, 38, 780
49, 19, 390

∴ So the LCM of the given numbers is 2 x 49 x 19 x 390 = 726180

Least Common Multiple of 49,38,780 with GCF Formula

Least Common Multiple of 49,38,780 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 49,38,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,38,780) = 1

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

GCF(49,38,780) x common factors =1 x 2 = 2

LCM(49,38,780) = ( 49 × 38 × 780 ) / 2

LCM(49,38,780) = 1452360 / 2

LCM(49,38,780) = 726180


Lets's calculate GCF of 338,332,664

2 338, 332, 664
169, 166, 332

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 726180/2

Therefore the LCM of Fractions 49/338,38/332,780/664 is 363090

Greatest Common Factor of 338,332,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,332,664 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 338,332,664 . The biggest common factor number is the GCF number.
So the greatest common factor 338,332,664 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 49/338, 38/332, 780/664

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 49/338, 38/332, 780/664?

Answer: LCM of Numerators as per given numbers 49/338, 38/332, 780/664 is

LCM of Numerators i.e. for 49,38,780 is 726180

GCF of denominators i.e. for 338,332,664 is 2.

Thus, LCM of Fractions is 363090.Finally, LCM of Fractions for 49/338, 38/332, 780/664 is 363090.