Least Common Multiple of 418/76, 304/94, 546/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 418/76, 304/94, 546/955 quickly i.e. 912912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 418/76, 304/94, 546/955 is 912912.

LCM(418/76, 304/94, 546/955) = 912912

LCM of 418/76, 304/94, 546/955

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 418/76,304/94,546/955

Given numbers are 418/76,304/94,546/955

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 418,304,546

Least Common Multiple of Numerators i.e. LCM of 418,304,546 is 912912.

GCF of Denominators means GCF of 76,94,955 as per the given fractions.

GCF of 76,94,955 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 418,304,546

LCM of Fractions 418/76,304/94,546/955 is 912912

2 418, 304, 546
19 209, 152, 273
11, 8, 273

∴ So the LCM of the given numbers is 2 x 19 x 11 x 8 x 273 = 912912

Least Common Multiple of 418,304,546 with GCF Formula

Least Common Multiple of 418,304,546 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 418,304,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,304,546) = 2

common factors(in case of two or more numbers have common factors) = 38

GCF(418,304,546) x common factors =2 x 38 = 76

LCM(418,304,546) = ( 418 × 304 × 546 ) / 76

LCM(418,304,546) = 69381312 / 76

LCM(418,304,546) = 912912


Lets's calculate GCF of 76,94,955

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 912912/1

Therefore the LCM of Fractions 418/76,304/94,546/955 is 912912

Greatest Common Factor of 76,94,955 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,94,955 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Greatest Common Factor

We found the factors 76,94,955 . The biggest common factor number is the GCF number.
So the greatest common factor 76,94,955 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 418/76, 304/94, 546/955

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 418/76, 304/94, 546/955?

Answer: LCM of Numerators as per given numbers 418/76, 304/94, 546/955 is

LCM of Numerators i.e. for 418,304,546 is 912912

GCF of denominators i.e. for 76,94,955 is 1.

Thus, LCM of Fractions is 912912.Finally, LCM of Fractions for 418/76, 304/94, 546/955 is 912912.