Least Common Multiple of 7996/689, 2232/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7996/689, 2232/954 quickly i.e. 4461768/53 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7996/689, 2232/954 is 4461768/53.

LCM(7996/689, 2232/954) = 4461768/53

LCM of 7996/689, 2232/954

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 7996/689,2232/954

Given numbers are 7996/689,2232/954

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 7996,2232

Least Common Multiple of Numerators i.e. LCM of 7996,2232 is 4461768.

GCF of Denominators means GCF of 689,954 as per the given fractions.

GCF of 689,954 is 53 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7996,2232

LCM of Fractions 7996/689,2232/954 is 4461768/53

2 7996, 2232
2 3998, 1116
1999, 558

∴ So the LCM of the given numbers is 2 x 2 x 1999 x 558 = 4461768

Least Common Multiple of 7996,2232 with GCF Formula

Least Common Multiple of 7996,2232 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 7996,2232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7996,2232) = 4

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

GCF(7996,2232) x common factors =4 x 1 = 4

LCM(7996,2232) = ( 7996 × 2232 ) / 4

LCM(7996,2232) = 17847072 / 4

LCM(7996,2232) = 4461768


Lets's calculate GCF of 689,954

53 689, 954
13, 18

∴ So the GCF of the given numbers is 53 = 53

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4461768/53

Therefore the LCM of Fractions 7996/689,2232/954 is 4461768/53

Greatest Common Factor of 689,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,954 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 689,954 . The biggest common factor number is the GCF number.
So the greatest common factor 689,954 is 53.


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 7996/689, 2232/954

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 7996/689, 2232/954?

Answer: LCM of Numerators as per given numbers 7996/689, 2232/954 is

LCM of Numerators i.e. for 7996,2232 is 4461768

GCF of denominators i.e. for 689,954 is 53.

Thus, LCM of Fractions is 4461768/53.Finally, LCM of Fractions for 7996/689, 2232/954 is 4461768/53.