Least Common Multiple of 148/654, 217/465, 730/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 148/654, 217/465, 730/770 quickly i.e. 11722340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 148/654, 217/465, 730/770 is 11722340.

LCM(148/654, 217/465, 730/770) = 11722340

LCM of 148/654, 217/465, 730/770

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 148/654,217/465,730/770

Given numbers are 148/654,217/465,730/770

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 148,217,730

Least Common Multiple of Numerators i.e. LCM of 148,217,730 is 11722340.

GCF of Denominators means GCF of 654,465,770 as per the given fractions.

GCF of 654,465,770 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 148,217,730

LCM of Fractions 148/654,217/465,730/770 is 11722340

2 148, 217, 730
74, 217, 365

∴ So the LCM of the given numbers is 2 x 74 x 217 x 365 = 11722340

Least Common Multiple of 148,217,730 with GCF Formula

Least Common Multiple of 148,217,730 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 148,217,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,217,730) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(148,217,730) x common factors =1 x 2 = 2

LCM(148,217,730) = ( 148 × 217 × 730 ) / 2

LCM(148,217,730) = 23444680 / 2

LCM(148,217,730) = 11722340


Lets's calculate GCF of 654,465,770

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11722340/1

Therefore the LCM of Fractions 148/654,217/465,730/770 is 11722340

Greatest Common Factor of 654,465,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,465,770 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

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

Greatest Common Factor

We found the factors 654,465,770 . The biggest common factor number is the GCF number.
So the greatest common factor 654,465,770 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 148/654, 217/465, 730/770

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 148/654, 217/465, 730/770?

Answer: LCM of Numerators as per given numbers 148/654, 217/465, 730/770 is

LCM of Numerators i.e. for 148,217,730 is 11722340

GCF of denominators i.e. for 654,465,770 is 1.

Thus, LCM of Fractions is 11722340.Finally, LCM of Fractions for 148/654, 217/465, 730/770 is 11722340.