Least Common Multiple of 754/70, 765/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 754/70, 765/916 quickly i.e. 288405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 754/70, 765/916 is 288405.

LCM(754/70, 765/916) = 288405

LCM of 754/70, 765/916

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 754/70,765/916

Given numbers are 754/70,765/916

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 754,765

Least Common Multiple of Numerators i.e. LCM of 754,765 is 576810.

GCF of Denominators means GCF of 70,916 as per the given fractions.

GCF of 70,916 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 754,765

LCM of Fractions 754/70,765/916 is 288405

Given numbers has no common factors except 1. So, there LCM is their product i.e 576810

Least Common Multiple of 754,765 with GCF Formula

Least Common Multiple of 754,765 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 754,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,765) = 1

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

GCF(754,765) x common factors =1 x 1 = 1

LCM(754,765) = ( 754 × 765 ) / 1

LCM(754,765) = 576810 / 1

LCM(754,765) = 576810


Lets's calculate GCF of 70,916

2 70, 916
35, 458

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 576810/2

Therefore the LCM of Fractions 754/70,765/916 is 288405

Greatest Common Factor of 70,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,916 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 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 70,916 . The biggest common factor number is the GCF number.
So the greatest common factor 70,916 is 2.


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 754/70, 765/916

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 754/70, 765/916?

Answer: LCM of Numerators as per given numbers 754/70, 765/916 is

LCM of Numerators i.e. for 754,765 is 576810

GCF of denominators i.e. for 70,916 is 2.

Thus, LCM of Fractions is 288405.Finally, LCM of Fractions for 754/70, 765/916 is 288405.