Least Common Multiple of 737/688, 448/117, 748/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 737/688, 448/117, 748/722 quickly i.e. 5612992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 737/688, 448/117, 748/722 is 5612992.

LCM(737/688, 448/117, 748/722) = 5612992

LCM of 737/688, 448/117, 748/722

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 737/688,448/117,748/722

Given numbers are 737/688,448/117,748/722

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 737,448,748

Least Common Multiple of Numerators i.e. LCM of 737,448,748 is 5612992.

GCF of Denominators means GCF of 688,117,722 as per the given fractions.

GCF of 688,117,722 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 737,448,748

LCM of Fractions 737/688,448/117,748/722 is 5612992

2 737, 448, 748
2 737, 224, 374
11 737, 112, 187
67, 112, 17

∴ So the LCM of the given numbers is 2 x 2 x 11 x 67 x 112 x 17 = 5612992

Least Common Multiple of 737,448,748 with GCF Formula

Least Common Multiple of 737,448,748 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 737,448,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(737,448,748) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(737,448,748) x common factors =1 x 44 = 44

LCM(737,448,748) = ( 737 × 448 × 748 ) / 44

LCM(737,448,748) = 246971648 / 44

LCM(737,448,748) = 5612992


Lets's calculate GCF of 688,117,722

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5612992/1

Therefore the LCM of Fractions 737/688,448/117,748/722 is 5612992

Greatest Common Factor of 688,117,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,117,722 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 688,117,722 . The biggest common factor number is the GCF number.
So the greatest common factor 688,117,722 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 737/688, 448/117, 748/722

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 737/688, 448/117, 748/722?

Answer: LCM of Numerators as per given numbers 737/688, 448/117, 748/722 is

LCM of Numerators i.e. for 737,448,748 is 5612992

GCF of denominators i.e. for 688,117,722 is 1.

Thus, LCM of Fractions is 5612992.Finally, LCM of Fractions for 737/688, 448/117, 748/722 is 5612992.