Least Common Multiple of 762/34, 974/1696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 762/34, 974/1696 quickly i.e. 185547 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 762/34, 974/1696 is 185547.

LCM(762/34, 974/1696) = 185547

LCM of 762/34, 974/1696

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 762/34,974/1696

Given numbers are 762/34,974/1696

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 762,974

Least Common Multiple of Numerators i.e. LCM of 762,974 is 371094.

GCF of Denominators means GCF of 34,1696 as per the given fractions.

GCF of 34,1696 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 762,974

LCM of Fractions 762/34,974/1696 is 185547

2 762, 974
381, 487

∴ So the LCM of the given numbers is 2 x 381 x 487 = 371094

Least Common Multiple of 762,974 with GCF Formula

Least Common Multiple of 762,974 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 762,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,974) = 2

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

GCF(762,974) x common factors =2 x 1 = 2

LCM(762,974) = ( 762 × 974 ) / 2

LCM(762,974) = 742188 / 2

LCM(762,974) = 371094


Lets's calculate GCF of 34,1696

2 34, 1696
17, 848

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 371094/2

Therefore the LCM of Fractions 762/34,974/1696 is 185547

Greatest Common Factor of 34,1696 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,1696 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 1696

List of positive integer factors of 1696 that divides 1696 without a remainder.

1,2,4,8,16,32,53,106,212,424,848,1696

Greatest Common Factor

We found the factors 34,1696 . The biggest common factor number is the GCF number.
So the greatest common factor 34,1696 is 2.


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 762/34, 974/1696

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 762/34, 974/1696?

Answer: LCM of Numerators as per given numbers 762/34, 974/1696 is

LCM of Numerators i.e. for 762,974 is 371094

GCF of denominators i.e. for 34,1696 is 2.

Thus, LCM of Fractions is 185547.Finally, LCM of Fractions for 762/34, 974/1696 is 185547.