Least Common Multiple of 68/367, 742/496, 896/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/367, 742/496, 896/972 quickly i.e. 807296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/367, 742/496, 896/972 is 807296.

LCM(68/367, 742/496, 896/972) = 807296

LCM of 68/367, 742/496, 896/972

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 68/367,742/496,896/972

Given numbers are 68/367,742/496,896/972

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 68,742,896

Least Common Multiple of Numerators i.e. LCM of 68,742,896 is 807296.

GCF of Denominators means GCF of 367,496,972 as per the given fractions.

GCF of 367,496,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,742,896

LCM of Fractions 68/367,742/496,896/972 is 807296

2 68, 742, 896
2 34, 371, 448
7 17, 371, 224
17, 53, 32

∴ So the LCM of the given numbers is 2 x 2 x 7 x 17 x 53 x 32 = 807296

Least Common Multiple of 68,742,896 with GCF Formula

Least Common Multiple of 68,742,896 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 68,742,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,742,896) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(68,742,896) x common factors =2 x 28 = 56

LCM(68,742,896) = ( 68 × 742 × 896 ) / 56

LCM(68,742,896) = 45208576 / 56

LCM(68,742,896) = 807296


Lets's calculate GCF of 367,496,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 807296/1

Therefore the LCM of Fractions 68/367,742/496,896/972 is 807296

Greatest Common Factor of 367,496,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,496,972 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 367,496,972 . The biggest common factor number is the GCF number.
So the greatest common factor 367,496,972 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 68/367, 742/496, 896/972

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 68/367, 742/496, 896/972?

Answer: LCM of Numerators as per given numbers 68/367, 742/496, 896/972 is

LCM of Numerators i.e. for 68,742,896 is 807296

GCF of denominators i.e. for 367,496,972 is 1.

Thus, LCM of Fractions is 807296.Finally, LCM of Fractions for 68/367, 742/496, 896/972 is 807296.