Least Common Multiple of 51/114, 77/743, 886/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/114, 77/743, 886/748 quickly i.e. 3479322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/114, 77/743, 886/748 is 3479322.

LCM(51/114, 77/743, 886/748) = 3479322

LCM of 51/114, 77/743, 886/748

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 51/114,77/743,886/748

Given numbers are 51/114,77/743,886/748

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 51,77,886

Least Common Multiple of Numerators i.e. LCM of 51,77,886 is 3479322.

GCF of Denominators means GCF of 114,743,748 as per the given fractions.

GCF of 114,743,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,77,886

LCM of Fractions 51/114,77/743,886/748 is 3479322

Given numbers has no common factors except 1. So, there LCM is their product i.e 3479322

Least Common Multiple of 51,77,886 with GCF Formula

Least Common Multiple of 51,77,886 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 51,77,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,77,886) = 1

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

GCF(51,77,886) x common factors =1 x 1 = 1

LCM(51,77,886) = ( 51 × 77 × 886 ) / 1

LCM(51,77,886) = 3479322 / 1

LCM(51,77,886) = 3479322


Lets's calculate GCF of 114,743,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3479322/1

Therefore the LCM of Fractions 51/114,77/743,886/748 is 3479322

Greatest Common Factor of 114,743,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,743,748 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

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 114,743,748 . The biggest common factor number is the GCF number.
So the greatest common factor 114,743,748 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 51/114, 77/743, 886/748

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 51/114, 77/743, 886/748?

Answer: LCM of Numerators as per given numbers 51/114, 77/743, 886/748 is

LCM of Numerators i.e. for 51,77,886 is 3479322

GCF of denominators i.e. for 114,743,748 is 1.

Thus, LCM of Fractions is 3479322.Finally, LCM of Fractions for 51/114, 77/743, 886/748 is 3479322.