Least Common Multiple of 42/96, 459/24, 967/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/96, 459/24, 967/861 quickly i.e. 2071314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/96, 459/24, 967/861 is 2071314.

LCM(42/96, 459/24, 967/861) = 2071314

LCM of 42/96, 459/24, 967/861

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 42/96,459/24,967/861

Given numbers are 42/96,459/24,967/861

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 42,459,967

Least Common Multiple of Numerators i.e. LCM of 42,459,967 is 6213942.

GCF of Denominators means GCF of 96,24,861 as per the given fractions.

GCF of 96,24,861 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,459,967

LCM of Fractions 42/96,459/24,967/861 is 2071314

3 42, 459, 967
14, 153, 967

∴ So the LCM of the given numbers is 3 x 14 x 153 x 967 = 6213942

Least Common Multiple of 42,459,967 with GCF Formula

Least Common Multiple of 42,459,967 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 42,459,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,459,967) = 1

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

GCF(42,459,967) x common factors =1 x 3 = 3

LCM(42,459,967) = ( 42 × 459 × 967 ) / 3

LCM(42,459,967) = 18641826 / 3

LCM(42,459,967) = 6213942


Lets's calculate GCF of 96,24,861

3 96, 24, 861
32, 8, 287

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6213942/3

Therefore the LCM of Fractions 42/96,459/24,967/861 is 2071314

Greatest Common Factor of 96,24,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,24,861 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 96,24,861 . The biggest common factor number is the GCF number.
So the greatest common factor 96,24,861 is 3.


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 42/96, 459/24, 967/861

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 42/96, 459/24, 967/861?

Answer: LCM of Numerators as per given numbers 42/96, 459/24, 967/861 is

LCM of Numerators i.e. for 42,459,967 is 6213942

GCF of denominators i.e. for 96,24,861 is 3.

Thus, LCM of Fractions is 2071314.Finally, LCM of Fractions for 42/96, 459/24, 967/861 is 2071314.