Least Common Multiple of 545/782, 609/358, 451/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 545/782, 609/358, 451/697 quickly i.e. 149689155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 545/782, 609/358, 451/697 is 149689155.

LCM(545/782, 609/358, 451/697) = 149689155

LCM of 545/782, 609/358, 451/697

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 545/782,609/358,451/697

Given numbers are 545/782,609/358,451/697

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 545,609,451

Least Common Multiple of Numerators i.e. LCM of 545,609,451 is 149689155.

GCF of Denominators means GCF of 782,358,697 as per the given fractions.

GCF of 782,358,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 545,609,451

LCM of Fractions 545/782,609/358,451/697 is 149689155

Given numbers has no common factors except 1. So, there LCM is their product i.e 149689155

Least Common Multiple of 545,609,451 with GCF Formula

Least Common Multiple of 545,609,451 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 545,609,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,609,451) = 1

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

GCF(545,609,451) x common factors =1 x 1 = 1

LCM(545,609,451) = ( 545 × 609 × 451 ) / 1

LCM(545,609,451) = 149689155 / 1

LCM(545,609,451) = 149689155


Lets's calculate GCF of 782,358,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149689155/1

Therefore the LCM of Fractions 545/782,609/358,451/697 is 149689155

Greatest Common Factor of 782,358,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,358,697 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 782,358,697 . The biggest common factor number is the GCF number.
So the greatest common factor 782,358,697 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 545/782, 609/358, 451/697

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 545/782, 609/358, 451/697?

Answer: LCM of Numerators as per given numbers 545/782, 609/358, 451/697 is

LCM of Numerators i.e. for 545,609,451 is 149689155

GCF of denominators i.e. for 782,358,697 is 1.

Thus, LCM of Fractions is 149689155.Finally, LCM of Fractions for 545/782, 609/358, 451/697 is 149689155.