Least Common Multiple of 952/68, 168/20, 639/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 952/68, 168/20, 639/506 quickly i.e. 304164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 952/68, 168/20, 639/506 is 304164.

LCM(952/68, 168/20, 639/506) = 304164

LCM of 952/68, 168/20, 639/506

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 952/68,168/20,639/506

Given numbers are 952/68,168/20,639/506

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 952,168,639

Least Common Multiple of Numerators i.e. LCM of 952,168,639 is 608328.

GCF of Denominators means GCF of 68,20,506 as per the given fractions.

GCF of 68,20,506 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 952,168,639

LCM of Fractions 952/68,168/20,639/506 is 304164

2 952, 168, 639
2 476, 84, 639
2 238, 42, 639
3 119, 21, 639
7 119, 7, 213
17, 1, 213

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 17 x 1 x 213 = 608328

Least Common Multiple of 952,168,639 with GCF Formula

Least Common Multiple of 952,168,639 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 952,168,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,168,639) = 1

common factors(in case of two or more numbers have common factors) = 168

GCF(952,168,639) x common factors =1 x 168 = 168

LCM(952,168,639) = ( 952 × 168 × 639 ) / 168

LCM(952,168,639) = 102199104 / 168

LCM(952,168,639) = 608328


Lets's calculate GCF of 68,20,506

2 68, 20, 506
34, 10, 253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 608328/2

Therefore the LCM of Fractions 952/68,168/20,639/506 is 304164

Greatest Common Factor of 68,20,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,20,506 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 68,20,506 . The biggest common factor number is the GCF number.
So the greatest common factor 68,20,506 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 952/68, 168/20, 639/506

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 952/68, 168/20, 639/506?

Answer: LCM of Numerators as per given numbers 952/68, 168/20, 639/506 is

LCM of Numerators i.e. for 952,168,639 is 608328

GCF of denominators i.e. for 68,20,506 is 2.

Thus, LCM of Fractions is 304164.Finally, LCM of Fractions for 952/68, 168/20, 639/506 is 304164.