Least Common Multiple of 224/686, 468/164, 939/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 224/686, 468/164, 939/748 quickly i.e. 4101552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 224/686, 468/164, 939/748 is 4101552.

LCM(224/686, 468/164, 939/748) = 4101552

LCM of 224/686, 468/164, 939/748

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 224/686,468/164,939/748

Given numbers are 224/686,468/164,939/748

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 224,468,939

Least Common Multiple of Numerators i.e. LCM of 224,468,939 is 8203104.

GCF of Denominators means GCF of 686,164,748 as per the given fractions.

GCF of 686,164,748 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 224,468,939

LCM of Fractions 224/686,468/164,939/748 is 4101552

2 224, 468, 939
2 112, 234, 939
3 56, 117, 939
56, 39, 313

∴ So the LCM of the given numbers is 2 x 2 x 3 x 56 x 39 x 313 = 8203104

Least Common Multiple of 224,468,939 with GCF Formula

Least Common Multiple of 224,468,939 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 224,468,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,468,939) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(224,468,939) x common factors =1 x 12 = 12

LCM(224,468,939) = ( 224 × 468 × 939 ) / 12

LCM(224,468,939) = 98437248 / 12

LCM(224,468,939) = 8203104


Lets's calculate GCF of 686,164,748

2 686, 164, 748
343, 82, 374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8203104/2

Therefore the LCM of Fractions 224/686,468/164,939/748 is 4101552

Greatest Common Factor of 686,164,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,164,748 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

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 686,164,748 . The biggest common factor number is the GCF number.
So the greatest common factor 686,164,748 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 224/686, 468/164, 939/748

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 224/686, 468/164, 939/748?

Answer: LCM of Numerators as per given numbers 224/686, 468/164, 939/748 is

LCM of Numerators i.e. for 224,468,939 is 8203104

GCF of denominators i.e. for 686,164,748 is 2.

Thus, LCM of Fractions is 4101552.Finally, LCM of Fractions for 224/686, 468/164, 939/748 is 4101552.