Least Common Multiple of 45/770, 288/157, 662/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/770, 288/157, 662/486 quickly i.e. 476640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/770, 288/157, 662/486 is 476640.

LCM(45/770, 288/157, 662/486) = 476640

LCM of 45/770, 288/157, 662/486

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 45/770,288/157,662/486

Given numbers are 45/770,288/157,662/486

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 45,288,662

Least Common Multiple of Numerators i.e. LCM of 45,288,662 is 476640.

GCF of Denominators means GCF of 770,157,486 as per the given fractions.

GCF of 770,157,486 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,288,662

LCM of Fractions 45/770,288/157,662/486 is 476640

2 45, 288, 662
3 45, 144, 331
3 15, 48, 331
5, 16, 331

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 16 x 331 = 476640

Least Common Multiple of 45,288,662 with GCF Formula

Least Common Multiple of 45,288,662 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 45,288,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,288,662) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(45,288,662) x common factors =1 x 18 = 18

LCM(45,288,662) = ( 45 × 288 × 662 ) / 18

LCM(45,288,662) = 8579520 / 18

LCM(45,288,662) = 476640


Lets's calculate GCF of 770,157,486

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 476640/1

Therefore the LCM of Fractions 45/770,288/157,662/486 is 476640

Greatest Common Factor of 770,157,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,157,486 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 770,157,486 . The biggest common factor number is the GCF number.
So the greatest common factor 770,157,486 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 45/770, 288/157, 662/486

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 45/770, 288/157, 662/486?

Answer: LCM of Numerators as per given numbers 45/770, 288/157, 662/486 is

LCM of Numerators i.e. for 45,288,662 is 476640

GCF of denominators i.e. for 770,157,486 is 1.

Thus, LCM of Fractions is 476640.Finally, LCM of Fractions for 45/770, 288/157, 662/486 is 476640.