Least Common Multiple of 249/827, 758/692, 361/607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 249/827, 758/692, 361/607 quickly i.e. 68135862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 249/827, 758/692, 361/607 is 68135862.

LCM(249/827, 758/692, 361/607) = 68135862

LCM of 249/827, 758/692, 361/607

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 249/827,758/692,361/607

Given numbers are 249/827,758/692,361/607

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 249,758,361

Least Common Multiple of Numerators i.e. LCM of 249,758,361 is 68135862.

GCF of Denominators means GCF of 827,692,607 as per the given fractions.

GCF of 827,692,607 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 249,758,361

LCM of Fractions 249/827,758/692,361/607 is 68135862

Given numbers has no common factors except 1. So, there LCM is their product i.e 68135862

Least Common Multiple of 249,758,361 with GCF Formula

Least Common Multiple of 249,758,361 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 249,758,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,758,361) = 1

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

GCF(249,758,361) x common factors =1 x 1 = 1

LCM(249,758,361) = ( 249 × 758 × 361 ) / 1

LCM(249,758,361) = 68135862 / 1

LCM(249,758,361) = 68135862


Lets's calculate GCF of 827,692,607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68135862/1

Therefore the LCM of Fractions 249/827,758/692,361/607 is 68135862

Greatest Common Factor of 827,692,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,692,607 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Greatest Common Factor

We found the factors 827,692,607 . The biggest common factor number is the GCF number.
So the greatest common factor 827,692,607 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 249/827, 758/692, 361/607

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 249/827, 758/692, 361/607?

Answer: LCM of Numerators as per given numbers 249/827, 758/692, 361/607 is

LCM of Numerators i.e. for 249,758,361 is 68135862

GCF of denominators i.e. for 827,692,607 is 1.

Thus, LCM of Fractions is 68135862.Finally, LCM of Fractions for 249/827, 758/692, 361/607 is 68135862.