Least Common Multiple of 68/649, 90/152, 748/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/649, 90/152, 748/119 quickly i.e. 33660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/649, 90/152, 748/119 is 33660.

LCM(68/649, 90/152, 748/119) = 33660

LCM of 68/649, 90/152, 748/119

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 68/649,90/152,748/119

Given numbers are 68/649,90/152,748/119

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 68,90,748

Least Common Multiple of Numerators i.e. LCM of 68,90,748 is 33660.

GCF of Denominators means GCF of 649,152,119 as per the given fractions.

GCF of 649,152,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,90,748

LCM of Fractions 68/649,90/152,748/119 is 33660

2 68, 90, 748
2 34, 45, 374
17 17, 45, 187
1, 45, 11

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 45 x 11 = 33660

Least Common Multiple of 68,90,748 with GCF Formula

Least Common Multiple of 68,90,748 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 68,90,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,90,748) = 2

common factors(in case of two or more numbers have common factors) = 68

GCF(68,90,748) x common factors =2 x 68 = 136

LCM(68,90,748) = ( 68 × 90 × 748 ) / 136

LCM(68,90,748) = 4577760 / 136

LCM(68,90,748) = 33660


Lets's calculate GCF of 649,152,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33660/1

Therefore the LCM of Fractions 68/649,90/152,748/119 is 33660

Greatest Common Factor of 649,152,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,152,119 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 649,152,119 . The biggest common factor number is the GCF number.
So the greatest common factor 649,152,119 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 68/649, 90/152, 748/119

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 68/649, 90/152, 748/119?

Answer: LCM of Numerators as per given numbers 68/649, 90/152, 748/119 is

LCM of Numerators i.e. for 68,90,748 is 33660

GCF of denominators i.e. for 649,152,119 is 1.

Thus, LCM of Fractions is 33660.Finally, LCM of Fractions for 68/649, 90/152, 748/119 is 33660.