Least Common Multiple of 77/757, 45/631, 421/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/757, 45/631, 421/717 quickly i.e. 1458765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/757, 45/631, 421/717 is 1458765.

LCM(77/757, 45/631, 421/717) = 1458765

LCM of 77/757, 45/631, 421/717

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 77/757,45/631,421/717

Given numbers are 77/757,45/631,421/717

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 77,45,421

Least Common Multiple of Numerators i.e. LCM of 77,45,421 is 1458765.

GCF of Denominators means GCF of 757,631,717 as per the given fractions.

GCF of 757,631,717 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,45,421

LCM of Fractions 77/757,45/631,421/717 is 1458765

Given numbers has no common factors except 1. So, there LCM is their product i.e 1458765

Least Common Multiple of 77,45,421 with GCF Formula

Least Common Multiple of 77,45,421 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 77,45,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,45,421) = 1

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

GCF(77,45,421) x common factors =1 x 1 = 1

LCM(77,45,421) = ( 77 × 45 × 421 ) / 1

LCM(77,45,421) = 1458765 / 1

LCM(77,45,421) = 1458765


Lets's calculate GCF of 757,631,717

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1458765/1

Therefore the LCM of Fractions 77/757,45/631,421/717 is 1458765

Greatest Common Factor of 757,631,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,631,717 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 757,631,717 . The biggest common factor number is the GCF number.
So the greatest common factor 757,631,717 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 77/757, 45/631, 421/717

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 77/757, 45/631, 421/717?

Answer: LCM of Numerators as per given numbers 77/757, 45/631, 421/717 is

LCM of Numerators i.e. for 77,45,421 is 1458765

GCF of denominators i.e. for 757,631,717 is 1.

Thus, LCM of Fractions is 1458765.Finally, LCM of Fractions for 77/757, 45/631, 421/717 is 1458765.