Least Common Multiple of 946/748, 920/483, 533/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 946/748, 920/483, 533/867 quickly i.e. 231940280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 946/748, 920/483, 533/867 is 231940280.

LCM(946/748, 920/483, 533/867) = 231940280

LCM of 946/748, 920/483, 533/867

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 946/748,920/483,533/867

Given numbers are 946/748,920/483,533/867

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 946,920,533

Least Common Multiple of Numerators i.e. LCM of 946,920,533 is 231940280.

GCF of Denominators means GCF of 748,483,867 as per the given fractions.

GCF of 748,483,867 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 946,920,533

LCM of Fractions 946/748,920/483,533/867 is 231940280

2 946, 920, 533
473, 460, 533

∴ So the LCM of the given numbers is 2 x 473 x 460 x 533 = 231940280

Least Common Multiple of 946,920,533 with GCF Formula

Least Common Multiple of 946,920,533 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 946,920,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,920,533) = 1

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

GCF(946,920,533) x common factors =1 x 2 = 2

LCM(946,920,533) = ( 946 × 920 × 533 ) / 2

LCM(946,920,533) = 463880560 / 2

LCM(946,920,533) = 231940280


Lets's calculate GCF of 748,483,867

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231940280/1

Therefore the LCM of Fractions 946/748,920/483,533/867 is 231940280

Greatest Common Factor of 748,483,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,483,867 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 748,483,867 . The biggest common factor number is the GCF number.
So the greatest common factor 748,483,867 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 946/748, 920/483, 533/867

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 946/748, 920/483, 533/867?

Answer: LCM of Numerators as per given numbers 946/748, 920/483, 533/867 is

LCM of Numerators i.e. for 946,920,533 is 231940280

GCF of denominators i.e. for 748,483,867 is 1.

Thus, LCM of Fractions is 231940280.Finally, LCM of Fractions for 946/748, 920/483, 533/867 is 231940280.