Least Common Multiple of 33/845, 63/734, 974/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/845, 63/734, 974/980 quickly i.e. 674982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/845, 63/734, 974/980 is 674982.

LCM(33/845, 63/734, 974/980) = 674982

LCM of 33/845, 63/734, 974/980

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 33/845,63/734,974/980

Given numbers are 33/845,63/734,974/980

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 33,63,974

Least Common Multiple of Numerators i.e. LCM of 33,63,974 is 674982.

GCF of Denominators means GCF of 845,734,980 as per the given fractions.

GCF of 845,734,980 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,63,974

LCM of Fractions 33/845,63/734,974/980 is 674982

3 33, 63, 974
11, 21, 974

∴ So the LCM of the given numbers is 3 x 11 x 21 x 974 = 674982

Least Common Multiple of 33,63,974 with GCF Formula

Least Common Multiple of 33,63,974 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 33,63,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,63,974) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(33,63,974) x common factors =1 x 3 = 3

LCM(33,63,974) = ( 33 × 63 × 974 ) / 3

LCM(33,63,974) = 2024946 / 3

LCM(33,63,974) = 674982


Lets's calculate GCF of 845,734,980

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 674982/1

Therefore the LCM of Fractions 33/845,63/734,974/980 is 674982

Greatest Common Factor of 845,734,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,734,980 By Matching Biggest Common Factor Method

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 845,734,980 . The biggest common factor number is the GCF number.
So the greatest common factor 845,734,980 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 33/845, 63/734, 974/980

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 33/845, 63/734, 974/980?

Answer: LCM of Numerators as per given numbers 33/845, 63/734, 974/980 is

LCM of Numerators i.e. for 33,63,974 is 674982

GCF of denominators i.e. for 845,734,980 is 1.

Thus, LCM of Fractions is 674982.Finally, LCM of Fractions for 33/845, 63/734, 974/980 is 674982.