Least Common Multiple of 56/67, 482/61, 110/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/67, 482/61, 110/568 quickly i.e. 742280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/67, 482/61, 110/568 is 742280.

LCM(56/67, 482/61, 110/568) = 742280

LCM of 56/67, 482/61, 110/568

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 56/67,482/61,110/568

Given numbers are 56/67,482/61,110/568

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 56,482,110

Least Common Multiple of Numerators i.e. LCM of 56,482,110 is 742280.

GCF of Denominators means GCF of 67,61,568 as per the given fractions.

GCF of 67,61,568 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,482,110

LCM of Fractions 56/67,482/61,110/568 is 742280

2 56, 482, 110
28, 241, 55

∴ So the LCM of the given numbers is 2 x 28 x 241 x 55 = 742280

Least Common Multiple of 56,482,110 with GCF Formula

Least Common Multiple of 56,482,110 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 56,482,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,482,110) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(56,482,110) x common factors =2 x 2 = 4

LCM(56,482,110) = ( 56 × 482 × 110 ) / 4

LCM(56,482,110) = 2969120 / 4

LCM(56,482,110) = 742280


Lets's calculate GCF of 67,61,568

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 742280/1

Therefore the LCM of Fractions 56/67,482/61,110/568 is 742280

Greatest Common Factor of 67,61,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,61,568 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 67,61,568 . The biggest common factor number is the GCF number.
So the greatest common factor 67,61,568 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 56/67, 482/61, 110/568

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 56/67, 482/61, 110/568?

Answer: LCM of Numerators as per given numbers 56/67, 482/61, 110/568 is

LCM of Numerators i.e. for 56,482,110 is 742280

GCF of denominators i.e. for 67,61,568 is 1.

Thus, LCM of Fractions is 742280.Finally, LCM of Fractions for 56/67, 482/61, 110/568 is 742280.