Least Common Multiple of 69/34, 708/65, 974/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/34, 708/65, 974/722 quickly i.e. 7930308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/34, 708/65, 974/722 is 7930308.

LCM(69/34, 708/65, 974/722) = 7930308

LCM of 69/34, 708/65, 974/722

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 69/34,708/65,974/722

Given numbers are 69/34,708/65,974/722

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 69,708,974

Least Common Multiple of Numerators i.e. LCM of 69,708,974 is 7930308.

GCF of Denominators means GCF of 34,65,722 as per the given fractions.

GCF of 34,65,722 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,708,974

LCM of Fractions 69/34,708/65,974/722 is 7930308

2 69, 708, 974
3 69, 354, 487
23, 118, 487

∴ So the LCM of the given numbers is 2 x 3 x 23 x 118 x 487 = 7930308

Least Common Multiple of 69,708,974 with GCF Formula

Least Common Multiple of 69,708,974 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 69,708,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,708,974) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(69,708,974) x common factors =1 x 6 = 6

LCM(69,708,974) = ( 69 × 708 × 974 ) / 6

LCM(69,708,974) = 47581848 / 6

LCM(69,708,974) = 7930308


Lets's calculate GCF of 34,65,722

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7930308/1

Therefore the LCM of Fractions 69/34,708/65,974/722 is 7930308

Greatest Common Factor of 34,65,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,65,722 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 34,65,722 . The biggest common factor number is the GCF number.
So the greatest common factor 34,65,722 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 69/34, 708/65, 974/722

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 69/34, 708/65, 974/722?

Answer: LCM of Numerators as per given numbers 69/34, 708/65, 974/722 is

LCM of Numerators i.e. for 69,708,974 is 7930308

GCF of denominators i.e. for 34,65,722 is 1.

Thus, LCM of Fractions is 7930308.Finally, LCM of Fractions for 69/34, 708/65, 974/722 is 7930308.