Least Common Multiple of 68/706, 440/495, 440/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/706, 440/495, 440/248 quickly i.e. 7480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/706, 440/495, 440/248 is 7480.

LCM(68/706, 440/495, 440/248) = 7480

LCM of 68/706, 440/495, 440/248

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 68/706,440/495,440/248

Given numbers are 68/706,440/495,440/248

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 68,440,440

Least Common Multiple of Numerators i.e. LCM of 68,440,440 is 7480.

GCF of Denominators means GCF of 706,495,248 as per the given fractions.

GCF of 706,495,248 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,440,440

LCM of Fractions 68/706,440/495,440/248 is 7480

2 68, 440, 440
2 34, 220, 220
2 17, 110, 110
5 17, 55, 55
11 17, 11, 11
17, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 17 x 1 x 1 = 7480

Least Common Multiple of 68,440,440 with GCF Formula

Least Common Multiple of 68,440,440 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 68,440,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,440,440) = 4

common factors(in case of two or more numbers have common factors) = 440

GCF(68,440,440) x common factors =4 x 440 = 1760

LCM(68,440,440) = ( 68 × 440 × 440 ) / 1760

LCM(68,440,440) = 13164800 / 1760

LCM(68,440,440) = 7480


Lets's calculate GCF of 706,495,248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7480/1

Therefore the LCM of Fractions 68/706,440/495,440/248 is 7480

Greatest Common Factor of 706,495,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,495,248 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 706,495,248 . The biggest common factor number is the GCF number.
So the greatest common factor 706,495,248 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 68/706, 440/495, 440/248

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 68/706, 440/495, 440/248?

Answer: LCM of Numerators as per given numbers 68/706, 440/495, 440/248 is

LCM of Numerators i.e. for 68,440,440 is 7480

GCF of denominators i.e. for 706,495,248 is 1.

Thus, LCM of Fractions is 7480.Finally, LCM of Fractions for 68/706, 440/495, 440/248 is 7480.