Least Common Multiple of 490/88, 592/83, 688/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/88, 592/83, 688/427 quickly i.e. 6236720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/88, 592/83, 688/427 is 6236720.

LCM(490/88, 592/83, 688/427) = 6236720

LCM of 490/88, 592/83, 688/427

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 490/88,592/83,688/427

Given numbers are 490/88,592/83,688/427

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 490,592,688

Least Common Multiple of Numerators i.e. LCM of 490,592,688 is 6236720.

GCF of Denominators means GCF of 88,83,427 as per the given fractions.

GCF of 88,83,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,592,688

LCM of Fractions 490/88,592/83,688/427 is 6236720

2 490, 592, 688
2 245, 296, 344
2 245, 148, 172
2 245, 74, 86
245, 37, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 245 x 37 x 43 = 6236720

Least Common Multiple of 490,592,688 with GCF Formula

Least Common Multiple of 490,592,688 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 490,592,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,592,688) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(490,592,688) x common factors =2 x 16 = 32

LCM(490,592,688) = ( 490 × 592 × 688 ) / 32

LCM(490,592,688) = 199575040 / 32

LCM(490,592,688) = 6236720


Lets's calculate GCF of 88,83,427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6236720/1

Therefore the LCM of Fractions 490/88,592/83,688/427 is 6236720

Greatest Common Factor of 88,83,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,83,427 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 88,83,427 . The biggest common factor number is the GCF number.
So the greatest common factor 88,83,427 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 490/88, 592/83, 688/427

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 490/88, 592/83, 688/427?

Answer: LCM of Numerators as per given numbers 490/88, 592/83, 688/427 is

LCM of Numerators i.e. for 490,592,688 is 6236720

GCF of denominators i.e. for 88,83,427 is 1.

Thus, LCM of Fractions is 6236720.Finally, LCM of Fractions for 490/88, 592/83, 688/427 is 6236720.