Least Common Multiple of 54/732, 67/946, 291/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/732, 67/946, 291/784 quickly i.e. 175473 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/732, 67/946, 291/784 is 175473.

LCM(54/732, 67/946, 291/784) = 175473

LCM of 54/732, 67/946, 291/784

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 54/732,67/946,291/784

Given numbers are 54/732,67/946,291/784

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 54,67,291

Least Common Multiple of Numerators i.e. LCM of 54,67,291 is 350946.

GCF of Denominators means GCF of 732,946,784 as per the given fractions.

GCF of 732,946,784 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,67,291

LCM of Fractions 54/732,67/946,291/784 is 175473

3 54, 67, 291
18, 67, 97

∴ So the LCM of the given numbers is 3 x 18 x 67 x 97 = 350946

Least Common Multiple of 54,67,291 with GCF Formula

Least Common Multiple of 54,67,291 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 54,67,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,67,291) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(54,67,291) x common factors =1 x 3 = 3

LCM(54,67,291) = ( 54 × 67 × 291 ) / 3

LCM(54,67,291) = 1052838 / 3

LCM(54,67,291) = 350946


Lets's calculate GCF of 732,946,784

2 732, 946, 784
366, 473, 392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 350946/2

Therefore the LCM of Fractions 54/732,67/946,291/784 is 175473

Greatest Common Factor of 732,946,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,946,784 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 732,946,784 . The biggest common factor number is the GCF number.
So the greatest common factor 732,946,784 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 54/732, 67/946, 291/784

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 54/732, 67/946, 291/784?

Answer: LCM of Numerators as per given numbers 54/732, 67/946, 291/784 is

LCM of Numerators i.e. for 54,67,291 is 350946

GCF of denominators i.e. for 732,946,784 is 2.

Thus, LCM of Fractions is 175473.Finally, LCM of Fractions for 54/732, 67/946, 291/784 is 175473.