Least Common Multiple of 749/70, 480/99, 757/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/70, 480/99, 757/970 quickly i.e. 272156640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/70, 480/99, 757/970 is 272156640.

LCM(749/70, 480/99, 757/970) = 272156640

LCM of 749/70, 480/99, 757/970

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 749/70,480/99,757/970

Given numbers are 749/70,480/99,757/970

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 749,480,757

Least Common Multiple of Numerators i.e. LCM of 749,480,757 is 272156640.

GCF of Denominators means GCF of 70,99,970 as per the given fractions.

GCF of 70,99,970 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,480,757

LCM of Fractions 749/70,480/99,757/970 is 272156640

Given numbers has no common factors except 1. So, there LCM is their product i.e 272156640

Least Common Multiple of 749,480,757 with GCF Formula

Least Common Multiple of 749,480,757 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 749,480,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,480,757) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(749,480,757) x common factors =1 x 1 = 1

LCM(749,480,757) = ( 749 × 480 × 757 ) / 1

LCM(749,480,757) = 272156640 / 1

LCM(749,480,757) = 272156640


Lets's calculate GCF of 70,99,970

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272156640/1

Therefore the LCM of Fractions 749/70,480/99,757/970 is 272156640

Greatest Common Factor of 70,99,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,99,970 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 70,99,970 . The biggest common factor number is the GCF number.
So the greatest common factor 70,99,970 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 749/70, 480/99, 757/970

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 749/70, 480/99, 757/970?

Answer: LCM of Numerators as per given numbers 749/70, 480/99, 757/970 is

LCM of Numerators i.e. for 749,480,757 is 272156640

GCF of denominators i.e. for 70,99,970 is 1.

Thus, LCM of Fractions is 272156640.Finally, LCM of Fractions for 749/70, 480/99, 757/970 is 272156640.