Least Common Multiple of 806/71, 949/77, 949/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 806/71, 949/77, 949/748 quickly i.e. 58838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 806/71, 949/77, 949/748 is 58838.

LCM(806/71, 949/77, 949/748) = 58838

LCM of 806/71, 949/77, 949/748

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 806/71,949/77,949/748

Given numbers are 806/71,949/77,949/748

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 806,949,949

Least Common Multiple of Numerators i.e. LCM of 806,949,949 is 58838.

GCF of Denominators means GCF of 71,77,748 as per the given fractions.

GCF of 71,77,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 806,949,949

LCM of Fractions 806/71,949/77,949/748 is 58838

13 806, 949, 949
73 62, 73, 73
62, 1, 1

∴ So the LCM of the given numbers is 13 x 73 x 62 x 1 x 1 = 58838

Least Common Multiple of 806,949,949 with GCF Formula

Least Common Multiple of 806,949,949 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 806,949,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,949,949) = 13

common factors(in case of two or more numbers have common factors) = 949

GCF(806,949,949) x common factors =13 x 949 = 12337

LCM(806,949,949) = ( 806 × 949 × 949 ) / 12337

LCM(806,949,949) = 725884406 / 12337

LCM(806,949,949) = 58838


Lets's calculate GCF of 71,77,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58838/1

Therefore the LCM of Fractions 806/71,949/77,949/748 is 58838

Greatest Common Factor of 71,77,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,77,748 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 77

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

1,7,11,77

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

Greatest Common Factor

We found the factors 71,77,748 . The biggest common factor number is the GCF number.
So the greatest common factor 71,77,748 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 806/71, 949/77, 949/748

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 806/71, 949/77, 949/748?

Answer: LCM of Numerators as per given numbers 806/71, 949/77, 949/748 is

LCM of Numerators i.e. for 806,949,949 is 58838

GCF of denominators i.e. for 71,77,748 is 1.

Thus, LCM of Fractions is 58838.Finally, LCM of Fractions for 806/71, 949/77, 949/748 is 58838.