Least Common Multiple of 77/976, 37/148, 805/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/976, 37/148, 805/294 quickly i.e. 327635/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/976, 37/148, 805/294 is 327635/2.

LCM(77/976, 37/148, 805/294) = 327635/2

LCM of 77/976, 37/148, 805/294

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 77/976,37/148,805/294

Given numbers are 77/976,37/148,805/294

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 77,37,805

Least Common Multiple of Numerators i.e. LCM of 77,37,805 is 327635.

GCF of Denominators means GCF of 976,148,294 as per the given fractions.

GCF of 976,148,294 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,37,805

LCM of Fractions 77/976,37/148,805/294 is 327635/2

7 77, 37, 805
11, 37, 115

∴ So the LCM of the given numbers is 7 x 11 x 37 x 115 = 327635

Least Common Multiple of 77,37,805 with GCF Formula

Least Common Multiple of 77,37,805 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 77,37,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,37,805) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,37,805) x common factors =1 x 7 = 7

LCM(77,37,805) = ( 77 × 37 × 805 ) / 7

LCM(77,37,805) = 2293445 / 7

LCM(77,37,805) = 327635


Lets's calculate GCF of 976,148,294

2 976, 148, 294
488, 74, 147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327635/2

Therefore the LCM of Fractions 77/976,37/148,805/294 is 327635/2

Greatest Common Factor of 976,148,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,148,294 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 976,148,294 . The biggest common factor number is the GCF number.
So the greatest common factor 976,148,294 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 77/976, 37/148, 805/294

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 77/976, 37/148, 805/294?

Answer: LCM of Numerators as per given numbers 77/976, 37/148, 805/294 is

LCM of Numerators i.e. for 77,37,805 is 327635

GCF of denominators i.e. for 976,148,294 is 2.

Thus, LCM of Fractions is 327635/2.Finally, LCM of Fractions for 77/976, 37/148, 805/294 is 327635/2.