Least Common Multiple of 42/399, 972/863, 347/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/399, 972/863, 347/829 quickly i.e. 2360988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/399, 972/863, 347/829 is 2360988.

LCM(42/399, 972/863, 347/829) = 2360988

LCM of 42/399, 972/863, 347/829

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 42/399,972/863,347/829

Given numbers are 42/399,972/863,347/829

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 42,972,347

Least Common Multiple of Numerators i.e. LCM of 42,972,347 is 2360988.

GCF of Denominators means GCF of 399,863,829 as per the given fractions.

GCF of 399,863,829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,972,347

LCM of Fractions 42/399,972/863,347/829 is 2360988

2 42, 972, 347
3 21, 486, 347
7, 162, 347

∴ So the LCM of the given numbers is 2 x 3 x 7 x 162 x 347 = 2360988

Least Common Multiple of 42,972,347 with GCF Formula

Least Common Multiple of 42,972,347 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 42,972,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,972,347) = 1

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

GCF(42,972,347) x common factors =1 x 6 = 6

LCM(42,972,347) = ( 42 × 972 × 347 ) / 6

LCM(42,972,347) = 14165928 / 6

LCM(42,972,347) = 2360988


Lets's calculate GCF of 399,863,829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2360988/1

Therefore the LCM of Fractions 42/399,972/863,347/829 is 2360988

Greatest Common Factor of 399,863,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,863,829 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 399,863,829 . The biggest common factor number is the GCF number.
So the greatest common factor 399,863,829 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 42/399, 972/863, 347/829

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 42/399, 972/863, 347/829?

Answer: LCM of Numerators as per given numbers 42/399, 972/863, 347/829 is

LCM of Numerators i.e. for 42,972,347 is 2360988

GCF of denominators i.e. for 399,863,829 is 1.

Thus, LCM of Fractions is 2360988.Finally, LCM of Fractions for 42/399, 972/863, 347/829 is 2360988.