Least Common Multiple of 77/976, 49/706, 383/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/976, 49/706, 383/914 quickly i.e. 206437/2 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, 49/706, 383/914 is 206437/2.

LCM(77/976, 49/706, 383/914) = 206437/2

LCM of 77/976, 49/706, 383/914

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 77/976,49/706,383/914

Given numbers are 77/976,49/706,383/914

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 77,49,383

Least Common Multiple of Numerators i.e. LCM of 77,49,383 is 206437.

GCF of Denominators means GCF of 976,706,914 as per the given fractions.

GCF of 976,706,914 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,49,383

LCM of Fractions 77/976,49/706,383/914 is 206437/2

7 77, 49, 383
11, 7, 383

∴ So the LCM of the given numbers is 7 x 11 x 7 x 383 = 206437

Least Common Multiple of 77,49,383 with GCF Formula

Least Common Multiple of 77,49,383 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 77,49,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,49,383) = 1

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

GCF(77,49,383) x common factors =1 x 7 = 7

LCM(77,49,383) = ( 77 × 49 × 383 ) / 7

LCM(77,49,383) = 1445059 / 7

LCM(77,49,383) = 206437


Lets's calculate GCF of 976,706,914

2 976, 706, 914
488, 353, 457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206437/2

Therefore the LCM of Fractions 77/976,49/706,383/914 is 206437/2

Greatest Common Factor of 976,706,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,706,914 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 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 914

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

1,2,457,914

Greatest Common Factor

We found the factors 976,706,914 . The biggest common factor number is the GCF number.
So the greatest common factor 976,706,914 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, 49/706, 383/914

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, 49/706, 383/914?

Answer: LCM of Numerators as per given numbers 77/976, 49/706, 383/914 is

LCM of Numerators i.e. for 77,49,383 is 206437

GCF of denominators i.e. for 976,706,914 is 2.

Thus, LCM of Fractions is 206437/2.Finally, LCM of Fractions for 77/976, 49/706, 383/914 is 206437/2.