Least Common Multiple of 84/52, 681/10, 986/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/52, 681/10, 986/152 quickly i.e. 4700262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/52, 681/10, 986/152 is 4700262.

LCM(84/52, 681/10, 986/152) = 4700262

LCM of 84/52, 681/10, 986/152

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 84/52,681/10,986/152

Given numbers are 84/52,681/10,986/152

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 84,681,986

Least Common Multiple of Numerators i.e. LCM of 84,681,986 is 9400524.

GCF of Denominators means GCF of 52,10,152 as per the given fractions.

GCF of 52,10,152 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,681,986

LCM of Fractions 84/52,681/10,986/152 is 4700262

2 84, 681, 986
3 42, 681, 493
14, 227, 493

∴ So the LCM of the given numbers is 2 x 3 x 14 x 227 x 493 = 9400524

Least Common Multiple of 84,681,986 with GCF Formula

Least Common Multiple of 84,681,986 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 84,681,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,681,986) = 1

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

GCF(84,681,986) x common factors =1 x 6 = 6

LCM(84,681,986) = ( 84 × 681 × 986 ) / 6

LCM(84,681,986) = 56403144 / 6

LCM(84,681,986) = 9400524


Lets's calculate GCF of 52,10,152

2 52, 10, 152
26, 5, 76

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9400524/2

Therefore the LCM of Fractions 84/52,681/10,986/152 is 4700262

Greatest Common Factor of 52,10,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,10,152 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 52,10,152 . The biggest common factor number is the GCF number.
So the greatest common factor 52,10,152 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 84/52, 681/10, 986/152

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 84/52, 681/10, 986/152?

Answer: LCM of Numerators as per given numbers 84/52, 681/10, 986/152 is

LCM of Numerators i.e. for 84,681,986 is 9400524

GCF of denominators i.e. for 52,10,152 is 2.

Thus, LCM of Fractions is 4700262.Finally, LCM of Fractions for 84/52, 681/10, 986/152 is 4700262.