Least Common Multiple of 714/50, 782/76, 402/651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 714/50, 782/76, 402/651 quickly i.e. 1100274 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 714/50, 782/76, 402/651 is 1100274.

LCM(714/50, 782/76, 402/651) = 1100274

LCM of 714/50, 782/76, 402/651

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 714/50,782/76,402/651

Given numbers are 714/50,782/76,402/651

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 714,782,402

Least Common Multiple of Numerators i.e. LCM of 714,782,402 is 1100274.

GCF of Denominators means GCF of 50,76,651 as per the given fractions.

GCF of 50,76,651 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 714,782,402

LCM of Fractions 714/50,782/76,402/651 is 1100274

2 714, 782, 402
3 357, 391, 201
17 119, 391, 67
7, 23, 67

∴ So the LCM of the given numbers is 2 x 3 x 17 x 7 x 23 x 67 = 1100274

Least Common Multiple of 714,782,402 with GCF Formula

Least Common Multiple of 714,782,402 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 714,782,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,782,402) = 2

common factors(in case of two or more numbers have common factors) = 102

GCF(714,782,402) x common factors =2 x 102 = 204

LCM(714,782,402) = ( 714 × 782 × 402 ) / 204

LCM(714,782,402) = 224455896 / 204

LCM(714,782,402) = 1100274


Lets's calculate GCF of 50,76,651

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1100274/1

Therefore the LCM of Fractions 714/50,782/76,402/651 is 1100274

Greatest Common Factor of 50,76,651 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,76,651 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Greatest Common Factor

We found the factors 50,76,651 . The biggest common factor number is the GCF number.
So the greatest common factor 50,76,651 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 714/50, 782/76, 402/651

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 714/50, 782/76, 402/651?

Answer: LCM of Numerators as per given numbers 714/50, 782/76, 402/651 is

LCM of Numerators i.e. for 714,782,402 is 1100274

GCF of denominators i.e. for 50,76,651 is 1.

Thus, LCM of Fractions is 1100274.Finally, LCM of Fractions for 714/50, 782/76, 402/651 is 1100274.