Least Common Multiple of 70/242, 991/603, 425/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/242, 991/603, 425/768 quickly i.e. 5896450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/242, 991/603, 425/768 is 5896450.

LCM(70/242, 991/603, 425/768) = 5896450

LCM of 70/242, 991/603, 425/768

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 70/242,991/603,425/768

Given numbers are 70/242,991/603,425/768

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 70,991,425

Least Common Multiple of Numerators i.e. LCM of 70,991,425 is 5896450.

GCF of Denominators means GCF of 242,603,768 as per the given fractions.

GCF of 242,603,768 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,991,425

LCM of Fractions 70/242,991/603,425/768 is 5896450

5 70, 991, 425
14, 991, 85

∴ So the LCM of the given numbers is 5 x 14 x 991 x 85 = 5896450

Least Common Multiple of 70,991,425 with GCF Formula

Least Common Multiple of 70,991,425 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 70,991,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,991,425) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(70,991,425) x common factors =1 x 5 = 5

LCM(70,991,425) = ( 70 × 991 × 425 ) / 5

LCM(70,991,425) = 29482250 / 5

LCM(70,991,425) = 5896450


Lets's calculate GCF of 242,603,768

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5896450/1

Therefore the LCM of Fractions 70/242,991/603,425/768 is 5896450

Greatest Common Factor of 242,603,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,603,768 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 242,603,768 . The biggest common factor number is the GCF number.
So the greatest common factor 242,603,768 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 70/242, 991/603, 425/768

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 70/242, 991/603, 425/768?

Answer: LCM of Numerators as per given numbers 70/242, 991/603, 425/768 is

LCM of Numerators i.e. for 70,991,425 is 5896450

GCF of denominators i.e. for 242,603,768 is 1.

Thus, LCM of Fractions is 5896450.Finally, LCM of Fractions for 70/242, 991/603, 425/768 is 5896450.