Least Common Multiple of 56/730, 267/77, 882/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/730, 267/77, 882/398 quickly i.e. 313992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/730, 267/77, 882/398 is 313992.

LCM(56/730, 267/77, 882/398) = 313992

LCM of 56/730, 267/77, 882/398

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 56/730,267/77,882/398

Given numbers are 56/730,267/77,882/398

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 56,267,882

Least Common Multiple of Numerators i.e. LCM of 56,267,882 is 313992.

GCF of Denominators means GCF of 730,77,398 as per the given fractions.

GCF of 730,77,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,267,882

LCM of Fractions 56/730,267/77,882/398 is 313992

2 56, 267, 882
3 28, 267, 441
7 28, 89, 147
4, 89, 21

∴ So the LCM of the given numbers is 2 x 3 x 7 x 4 x 89 x 21 = 313992

Least Common Multiple of 56,267,882 with GCF Formula

Least Common Multiple of 56,267,882 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 56,267,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,267,882) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(56,267,882) x common factors =1 x 42 = 42

LCM(56,267,882) = ( 56 × 267 × 882 ) / 42

LCM(56,267,882) = 13187664 / 42

LCM(56,267,882) = 313992


Lets's calculate GCF of 730,77,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 313992/1

Therefore the LCM of Fractions 56/730,267/77,882/398 is 313992

Greatest Common Factor of 730,77,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,77,398 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 730,77,398 . The biggest common factor number is the GCF number.
So the greatest common factor 730,77,398 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 56/730, 267/77, 882/398

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 56/730, 267/77, 882/398?

Answer: LCM of Numerators as per given numbers 56/730, 267/77, 882/398 is

LCM of Numerators i.e. for 56,267,882 is 313992

GCF of denominators i.e. for 730,77,398 is 1.

Thus, LCM of Fractions is 313992.Finally, LCM of Fractions for 56/730, 267/77, 882/398 is 313992.