Least Common Multiple of 10/86, 430/84, 982/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/86, 430/84, 982/936 quickly i.e. 105565 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/86, 430/84, 982/936 is 105565.

LCM(10/86, 430/84, 982/936) = 105565

LCM of 10/86, 430/84, 982/936

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 10/86,430/84,982/936

Given numbers are 10/86,430/84,982/936

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 10,430,982

Least Common Multiple of Numerators i.e. LCM of 10,430,982 is 211130.

GCF of Denominators means GCF of 86,84,936 as per the given fractions.

GCF of 86,84,936 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,430,982

LCM of Fractions 10/86,430/84,982/936 is 105565

2 10, 430, 982
5 5, 215, 491
1, 43, 491

∴ So the LCM of the given numbers is 2 x 5 x 1 x 43 x 491 = 211130

Least Common Multiple of 10,430,982 with GCF Formula

Least Common Multiple of 10,430,982 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 10,430,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,430,982) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(10,430,982) x common factors =2 x 10 = 20

LCM(10,430,982) = ( 10 × 430 × 982 ) / 20

LCM(10,430,982) = 4222600 / 20

LCM(10,430,982) = 211130


Lets's calculate GCF of 86,84,936

2 86, 84, 936
43, 42, 468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211130/2

Therefore the LCM of Fractions 10/86,430/84,982/936 is 105565

Greatest Common Factor of 86,84,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,84,936 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 86,84,936 . The biggest common factor number is the GCF number.
So the greatest common factor 86,84,936 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 10/86, 430/84, 982/936

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 10/86, 430/84, 982/936?

Answer: LCM of Numerators as per given numbers 10/86, 430/84, 982/936 is

LCM of Numerators i.e. for 10,430,982 is 211130

GCF of denominators i.e. for 86,84,936 is 2.

Thus, LCM of Fractions is 105565.Finally, LCM of Fractions for 10/86, 430/84, 982/936 is 105565.