Least Common Multiple of 18/852, 60/788, 362/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/852, 60/788, 362/948 quickly i.e. 8145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/852, 60/788, 362/948 is 8145.

LCM(18/852, 60/788, 362/948) = 8145

LCM of 18/852, 60/788, 362/948

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 18/852,60/788,362/948

Given numbers are 18/852,60/788,362/948

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 18,60,362

Least Common Multiple of Numerators i.e. LCM of 18,60,362 is 32580.

GCF of Denominators means GCF of 852,788,948 as per the given fractions.

GCF of 852,788,948 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,60,362

LCM of Fractions 18/852,60/788,362/948 is 8145

2 18, 60, 362
3 9, 30, 181
3, 10, 181

∴ So the LCM of the given numbers is 2 x 3 x 3 x 10 x 181 = 32580

Least Common Multiple of 18,60,362 with GCF Formula

Least Common Multiple of 18,60,362 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 18,60,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,60,362) = 2

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

GCF(18,60,362) x common factors =2 x 6 = 12

LCM(18,60,362) = ( 18 × 60 × 362 ) / 12

LCM(18,60,362) = 390960 / 12

LCM(18,60,362) = 32580


Lets's calculate GCF of 852,788,948

2 852, 788, 948
2 426, 394, 474
213, 197, 237

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32580/4

Therefore the LCM of Fractions 18/852,60/788,362/948 is 8145

Greatest Common Factor of 852,788,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,788,948 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 852,788,948 . The biggest common factor number is the GCF number.
So the greatest common factor 852,788,948 is 4.


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 18/852, 60/788, 362/948

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 18/852, 60/788, 362/948?

Answer: LCM of Numerators as per given numbers 18/852, 60/788, 362/948 is

LCM of Numerators i.e. for 18,60,362 is 32580

GCF of denominators i.e. for 852,788,948 is 4.

Thus, LCM of Fractions is 8145.Finally, LCM of Fractions for 18/852, 60/788, 362/948 is 8145.