Least Common Multiple of 62/400, 692/514, 123/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/400, 692/514, 123/492 quickly i.e. 1319298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/400, 692/514, 123/492 is 1319298.

LCM(62/400, 692/514, 123/492) = 1319298

LCM of 62/400, 692/514, 123/492

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 62/400,692/514,123/492

Given numbers are 62/400,692/514,123/492

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 62,692,123

Least Common Multiple of Numerators i.e. LCM of 62,692,123 is 2638596.

GCF of Denominators means GCF of 400,514,492 as per the given fractions.

GCF of 400,514,492 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,692,123

LCM of Fractions 62/400,692/514,123/492 is 1319298

2 62, 692, 123
31, 346, 123

∴ So the LCM of the given numbers is 2 x 31 x 346 x 123 = 2638596

Least Common Multiple of 62,692,123 with GCF Formula

Least Common Multiple of 62,692,123 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 62,692,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,692,123) = 1

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

GCF(62,692,123) x common factors =1 x 2 = 2

LCM(62,692,123) = ( 62 × 692 × 123 ) / 2

LCM(62,692,123) = 5277192 / 2

LCM(62,692,123) = 2638596


Lets's calculate GCF of 400,514,492

2 400, 514, 492
200, 257, 246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2638596/2

Therefore the LCM of Fractions 62/400,692/514,123/492 is 1319298

Greatest Common Factor of 400,514,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,514,492 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 400,514,492 . The biggest common factor number is the GCF number.
So the greatest common factor 400,514,492 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 62/400, 692/514, 123/492

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 62/400, 692/514, 123/492?

Answer: LCM of Numerators as per given numbers 62/400, 692/514, 123/492 is

LCM of Numerators i.e. for 62,692,123 is 2638596

GCF of denominators i.e. for 400,514,492 is 2.

Thus, LCM of Fractions is 1319298.Finally, LCM of Fractions for 62/400, 692/514, 123/492 is 1319298.