Least Common Multiple of 852/43, 938/34, 222/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/43, 938/34, 222/748 quickly i.e. 14784756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/43, 938/34, 222/748 is 14784756.

LCM(852/43, 938/34, 222/748) = 14784756

LCM of 852/43, 938/34, 222/748

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 852/43,938/34,222/748

Given numbers are 852/43,938/34,222/748

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 852,938,222

Least Common Multiple of Numerators i.e. LCM of 852,938,222 is 14784756.

GCF of Denominators means GCF of 43,34,748 as per the given fractions.

GCF of 43,34,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,938,222

LCM of Fractions 852/43,938/34,222/748 is 14784756

2 852, 938, 222
3 426, 469, 111
142, 469, 37

∴ So the LCM of the given numbers is 2 x 3 x 142 x 469 x 37 = 14784756

Least Common Multiple of 852,938,222 with GCF Formula

Least Common Multiple of 852,938,222 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 852,938,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,938,222) = 2

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

GCF(852,938,222) x common factors =2 x 6 = 12

LCM(852,938,222) = ( 852 × 938 × 222 ) / 12

LCM(852,938,222) = 177417072 / 12

LCM(852,938,222) = 14784756


Lets's calculate GCF of 43,34,748

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14784756/1

Therefore the LCM of Fractions 852/43,938/34,222/748 is 14784756

Greatest Common Factor of 43,34,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,34,748 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 43,34,748 . The biggest common factor number is the GCF number.
So the greatest common factor 43,34,748 is 1.


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 852/43, 938/34, 222/748

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 852/43, 938/34, 222/748?

Answer: LCM of Numerators as per given numbers 852/43, 938/34, 222/748 is

LCM of Numerators i.e. for 852,938,222 is 14784756

GCF of denominators i.e. for 43,34,748 is 1.

Thus, LCM of Fractions is 14784756.Finally, LCM of Fractions for 852/43, 938/34, 222/748 is 14784756.