Least Common Multiple of 974/76, 764/2334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 974/76, 764/2334 quickly i.e. 186034 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 974/76, 764/2334 is 186034.

LCM(974/76, 764/2334) = 186034

LCM of 974/76, 764/2334

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 974/76,764/2334

Given numbers are 974/76,764/2334

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 974,764

Least Common Multiple of Numerators i.e. LCM of 974,764 is 372068.

GCF of Denominators means GCF of 76,2334 as per the given fractions.

GCF of 76,2334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 974,764

LCM of Fractions 974/76,764/2334 is 186034

2 974, 764
487, 382

∴ So the LCM of the given numbers is 2 x 487 x 382 = 372068

Least Common Multiple of 974,764 with GCF Formula

Least Common Multiple of 974,764 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 974,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,764) = 2

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

GCF(974,764) x common factors =2 x 1 = 2

LCM(974,764) = ( 974 × 764 ) / 2

LCM(974,764) = 744136 / 2

LCM(974,764) = 372068


Lets's calculate GCF of 76,2334

2 76, 2334
38, 1167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 372068/2

Therefore the LCM of Fractions 974/76,764/2334 is 186034

Greatest Common Factor of 76,2334 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,2334 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 2334

List of positive integer factors of 2334 that divides 2334 without a remainder.

1,2,3,6,389,778,1167,2334

Greatest Common Factor

We found the factors 76,2334 . The biggest common factor number is the GCF number.
So the greatest common factor 76,2334 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 974/76, 764/2334

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 974/76, 764/2334?

Answer: LCM of Numerators as per given numbers 974/76, 764/2334 is

LCM of Numerators i.e. for 974,764 is 372068

GCF of denominators i.e. for 76,2334 is 2.

Thus, LCM of Fractions is 186034.Finally, LCM of Fractions for 974/76, 764/2334 is 186034.