Least Common Multiple of 28/296, 402/874, 762/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/296, 402/874, 762/803 quickly i.e. 714756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/296, 402/874, 762/803 is 714756.

LCM(28/296, 402/874, 762/803) = 714756

LCM of 28/296, 402/874, 762/803

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 28/296,402/874,762/803

Given numbers are 28/296,402/874,762/803

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 28,402,762

Least Common Multiple of Numerators i.e. LCM of 28,402,762 is 714756.

GCF of Denominators means GCF of 296,874,803 as per the given fractions.

GCF of 296,874,803 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,402,762

LCM of Fractions 28/296,402/874,762/803 is 714756

2 28, 402, 762
3 14, 201, 381
14, 67, 127

∴ So the LCM of the given numbers is 2 x 3 x 14 x 67 x 127 = 714756

Least Common Multiple of 28,402,762 with GCF Formula

Least Common Multiple of 28,402,762 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 28,402,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,402,762) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(28,402,762) x common factors =2 x 6 = 12

LCM(28,402,762) = ( 28 × 402 × 762 ) / 12

LCM(28,402,762) = 8577072 / 12

LCM(28,402,762) = 714756


Lets's calculate GCF of 296,874,803

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 714756/1

Therefore the LCM of Fractions 28/296,402/874,762/803 is 714756

Greatest Common Factor of 296,874,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,874,803 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors 296,874,803 . The biggest common factor number is the GCF number.
So the greatest common factor 296,874,803 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 28/296, 402/874, 762/803

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 28/296, 402/874, 762/803?

Answer: LCM of Numerators as per given numbers 28/296, 402/874, 762/803 is

LCM of Numerators i.e. for 28,402,762 is 714756

GCF of denominators i.e. for 296,874,803 is 1.

Thus, LCM of Fractions is 714756.Finally, LCM of Fractions for 28/296, 402/874, 762/803 is 714756.