Least Common Multiple of 852/18, 966/48, 977/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/18, 966/48, 977/420 quickly i.e. 22336174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/18, 966/48, 977/420 is 22336174.

LCM(852/18, 966/48, 977/420) = 22336174

LCM of 852/18, 966/48, 977/420

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 852/18,966/48,977/420

Given numbers are 852/18,966/48,977/420

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 852,966,977

Least Common Multiple of Numerators i.e. LCM of 852,966,977 is 134017044.

GCF of Denominators means GCF of 18,48,420 as per the given fractions.

GCF of 18,48,420 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,966,977

LCM of Fractions 852/18,966/48,977/420 is 22336174

2 852, 966, 977
3 426, 483, 977
142, 161, 977

∴ So the LCM of the given numbers is 2 x 3 x 142 x 161 x 977 = 134017044

Least Common Multiple of 852,966,977 with GCF Formula

Least Common Multiple of 852,966,977 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 852,966,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,966,977) = 1

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

GCF(852,966,977) x common factors =1 x 6 = 6

LCM(852,966,977) = ( 852 × 966 × 977 ) / 6

LCM(852,966,977) = 804102264 / 6

LCM(852,966,977) = 134017044


Lets's calculate GCF of 18,48,420

2 18, 48, 420
3 9, 24, 210
3, 8, 70

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134017044/6

Therefore the LCM of Fractions 852/18,966/48,977/420 is 22336174

Greatest Common Factor of 18,48,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,48,420 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 18,48,420 . The biggest common factor number is the GCF number.
So the greatest common factor 18,48,420 is 6.


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 852/18, 966/48, 977/420

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 852/18, 966/48, 977/420?

Answer: LCM of Numerators as per given numbers 852/18, 966/48, 977/420 is

LCM of Numerators i.e. for 852,966,977 is 134017044

GCF of denominators i.e. for 18,48,420 is 6.

Thus, LCM of Fractions is 22336174.Finally, LCM of Fractions for 852/18, 966/48, 977/420 is 22336174.