Least Common Multiple of 71/976, 692/549, 490/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/976, 692/549, 490/314 quickly i.e. 12037340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/976, 692/549, 490/314 is 12037340.

LCM(71/976, 692/549, 490/314) = 12037340

LCM of 71/976, 692/549, 490/314

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 71/976,692/549,490/314

Given numbers are 71/976,692/549,490/314

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 71,692,490

Least Common Multiple of Numerators i.e. LCM of 71,692,490 is 12037340.

GCF of Denominators means GCF of 976,549,314 as per the given fractions.

GCF of 976,549,314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,692,490

LCM of Fractions 71/976,692/549,490/314 is 12037340

2 71, 692, 490
71, 346, 245

∴ So the LCM of the given numbers is 2 x 71 x 346 x 245 = 12037340

Least Common Multiple of 71,692,490 with GCF Formula

Least Common Multiple of 71,692,490 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 71,692,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,692,490) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(71,692,490) x common factors =1 x 2 = 2

LCM(71,692,490) = ( 71 × 692 × 490 ) / 2

LCM(71,692,490) = 24074680 / 2

LCM(71,692,490) = 12037340


Lets's calculate GCF of 976,549,314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12037340/1

Therefore the LCM of Fractions 71/976,692/549,490/314 is 12037340

Greatest Common Factor of 976,549,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,549,314 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 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 976,549,314 . The biggest common factor number is the GCF number.
So the greatest common factor 976,549,314 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 71/976, 692/549, 490/314

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 71/976, 692/549, 490/314?

Answer: LCM of Numerators as per given numbers 71/976, 692/549, 490/314 is

LCM of Numerators i.e. for 71,692,490 is 12037340

GCF of denominators i.e. for 976,549,314 is 1.

Thus, LCM of Fractions is 12037340.Finally, LCM of Fractions for 71/976, 692/549, 490/314 is 12037340.