Least Common Multiple of 56/782, 37/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/782, 37/989 quickly i.e. 2072/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/782, 37/989 is 2072/23.

LCM(56/782, 37/989) = 2072/23

LCM of 56/782, 37/989

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 56/782,37/989

Given numbers are 56/782,37/989

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 56,37

Least Common Multiple of Numerators i.e. LCM of 56,37 is 2072.

GCF of Denominators means GCF of 782,989 as per the given fractions.

GCF of 782,989 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,37

LCM of Fractions 56/782,37/989 is 2072/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 2072

Least Common Multiple of 56,37 with GCF Formula

Least Common Multiple of 56,37 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 56,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,37) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(56,37) x common factors =1 x 1 = 1

LCM(56,37) = ( 56 × 37 ) / 1

LCM(56,37) = 2072 / 1

LCM(56,37) = 2072


Lets's calculate GCF of 782,989

23 782, 989
34, 43

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2072/23

Therefore the LCM of Fractions 56/782,37/989 is 2072/23

Greatest Common Factor of 782,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,989 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 782,989 . The biggest common factor number is the GCF number.
So the greatest common factor 782,989 is 23.


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 56/782, 37/989

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 56/782, 37/989?

Answer: LCM of Numerators as per given numbers 56/782, 37/989 is

LCM of Numerators i.e. for 56,37 is 2072

GCF of denominators i.e. for 782,989 is 23.

Thus, LCM of Fractions is 2072/23.Finally, LCM of Fractions for 56/782, 37/989 is 2072/23.