Least Common Multiple of 769/914, 213/697, 974/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 769/914, 213/697, 974/128 quickly i.e. 159538278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/914, 213/697, 974/128 is 159538278.

LCM(769/914, 213/697, 974/128) = 159538278

LCM of 769/914, 213/697, 974/128

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 769/914,213/697,974/128

Given numbers are 769/914,213/697,974/128

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 769,213,974

Least Common Multiple of Numerators i.e. LCM of 769,213,974 is 159538278.

GCF of Denominators means GCF of 914,697,128 as per the given fractions.

GCF of 914,697,128 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,213,974

LCM of Fractions 769/914,213/697,974/128 is 159538278

Given numbers has no common factors except 1. So, there LCM is their product i.e 159538278

Least Common Multiple of 769,213,974 with GCF Formula

Least Common Multiple of 769,213,974 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 769,213,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,213,974) = 1

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

GCF(769,213,974) x common factors =1 x 1 = 1

LCM(769,213,974) = ( 769 × 213 × 974 ) / 1

LCM(769,213,974) = 159538278 / 1

LCM(769,213,974) = 159538278


Lets's calculate GCF of 914,697,128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159538278/1

Therefore the LCM of Fractions 769/914,213/697,974/128 is 159538278

Greatest Common Factor of 914,697,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,697,128 By Matching Biggest Common Factor Method

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 914,697,128 . The biggest common factor number is the GCF number.
So the greatest common factor 914,697,128 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 769/914, 213/697, 974/128

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 769/914, 213/697, 974/128?

Answer: LCM of Numerators as per given numbers 769/914, 213/697, 974/128 is

LCM of Numerators i.e. for 769,213,974 is 159538278

GCF of denominators i.e. for 914,697,128 is 1.

Thus, LCM of Fractions is 159538278.Finally, LCM of Fractions for 769/914, 213/697, 974/128 is 159538278.