Least Common Multiple of 852/62, 9144/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/62, 9144/894 quickly i.e. 324612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/62, 9144/894 is 324612.

LCM(852/62, 9144/894) = 324612

LCM of 852/62, 9144/894

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 852/62,9144/894

Given numbers are 852/62,9144/894

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 852,9144

Least Common Multiple of Numerators i.e. LCM of 852,9144 is 649224.

GCF of Denominators means GCF of 62,894 as per the given fractions.

GCF of 62,894 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,9144

LCM of Fractions 852/62,9144/894 is 324612

2 852, 9144
2 426, 4572
3 213, 2286
71, 762

∴ So the LCM of the given numbers is 2 x 2 x 3 x 71 x 762 = 649224

Least Common Multiple of 852,9144 with GCF Formula

Least Common Multiple of 852,9144 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 852,9144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,9144) = 12

common factors(in case of two or more numbers have common factors) = 1

GCF(852,9144) x common factors =12 x 1 = 12

LCM(852,9144) = ( 852 × 9144 ) / 12

LCM(852,9144) = 7790688 / 12

LCM(852,9144) = 649224


Lets's calculate GCF of 62,894

2 62, 894
31, 447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 649224/2

Therefore the LCM of Fractions 852/62,9144/894 is 324612

Greatest Common Factor of 62,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,894 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 62,894 . The biggest common factor number is the GCF number.
So the greatest common factor 62,894 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 852/62, 9144/894

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 852/62, 9144/894?

Answer: LCM of Numerators as per given numbers 852/62, 9144/894 is

LCM of Numerators i.e. for 852,9144 is 649224

GCF of denominators i.e. for 62,894 is 2.

Thus, LCM of Fractions is 324612.Finally, LCM of Fractions for 852/62, 9144/894 is 324612.