Least Common Multiple of 526/46, 560/28, 284/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 526/46, 560/28, 284/662 quickly i.e. 5228440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 526/46, 560/28, 284/662 is 5228440.

LCM(526/46, 560/28, 284/662) = 5228440

LCM of 526/46, 560/28, 284/662

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 526/46,560/28,284/662

Given numbers are 526/46,560/28,284/662

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 526,560,284

Least Common Multiple of Numerators i.e. LCM of 526,560,284 is 10456880.

GCF of Denominators means GCF of 46,28,662 as per the given fractions.

GCF of 46,28,662 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 526,560,284

LCM of Fractions 526/46,560/28,284/662 is 5228440

2 526, 560, 284
2 263, 280, 142
263, 140, 71

∴ So the LCM of the given numbers is 2 x 2 x 263 x 140 x 71 = 10456880

Least Common Multiple of 526,560,284 with GCF Formula

Least Common Multiple of 526,560,284 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 526,560,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,560,284) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(526,560,284) x common factors =2 x 4 = 8

LCM(526,560,284) = ( 526 × 560 × 284 ) / 8

LCM(526,560,284) = 83655040 / 8

LCM(526,560,284) = 10456880


Lets's calculate GCF of 46,28,662

2 46, 28, 662
23, 14, 331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10456880/2

Therefore the LCM of Fractions 526/46,560/28,284/662 is 5228440

Greatest Common Factor of 46,28,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,28,662 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 46,28,662 . The biggest common factor number is the GCF number.
So the greatest common factor 46,28,662 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 526/46, 560/28, 284/662

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 526/46, 560/28, 284/662?

Answer: LCM of Numerators as per given numbers 526/46, 560/28, 284/662 is

LCM of Numerators i.e. for 526,560,284 is 10456880

GCF of denominators i.e. for 46,28,662 is 2.

Thus, LCM of Fractions is 5228440.Finally, LCM of Fractions for 526/46, 560/28, 284/662 is 5228440.