Least Common Multiple of 42/369, 17/381, 660/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/369, 17/381, 660/949 quickly i.e. 78540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/369, 17/381, 660/949 is 78540.

LCM(42/369, 17/381, 660/949) = 78540

LCM of 42/369, 17/381, 660/949

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 42/369,17/381,660/949

Given numbers are 42/369,17/381,660/949

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 42,17,660

Least Common Multiple of Numerators i.e. LCM of 42,17,660 is 78540.

GCF of Denominators means GCF of 369,381,949 as per the given fractions.

GCF of 369,381,949 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,17,660

LCM of Fractions 42/369,17/381,660/949 is 78540

2 42, 17, 660
3 21, 17, 330
7, 17, 110

∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 110 = 78540

Least Common Multiple of 42,17,660 with GCF Formula

Least Common Multiple of 42,17,660 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 42,17,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,17,660) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(42,17,660) x common factors =1 x 6 = 6

LCM(42,17,660) = ( 42 × 17 × 660 ) / 6

LCM(42,17,660) = 471240 / 6

LCM(42,17,660) = 78540


Lets's calculate GCF of 369,381,949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78540/1

Therefore the LCM of Fractions 42/369,17/381,660/949 is 78540

Greatest Common Factor of 369,381,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,381,949 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 369,381,949 . The biggest common factor number is the GCF number.
So the greatest common factor 369,381,949 is 1.


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 42/369, 17/381, 660/949

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 42/369, 17/381, 660/949?

Answer: LCM of Numerators as per given numbers 42/369, 17/381, 660/949 is

LCM of Numerators i.e. for 42,17,660 is 78540

GCF of denominators i.e. for 369,381,949 is 1.

Thus, LCM of Fractions is 78540.Finally, LCM of Fractions for 42/369, 17/381, 660/949 is 78540.