Least Common Multiple of 730/933, 846/877, 976/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 730/933, 846/877, 976/153 quickly i.e. 150689520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 730/933, 846/877, 976/153 is 150689520.

LCM(730/933, 846/877, 976/153) = 150689520

LCM of 730/933, 846/877, 976/153

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 730/933,846/877,976/153

Given numbers are 730/933,846/877,976/153

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 730,846,976

Least Common Multiple of Numerators i.e. LCM of 730,846,976 is 150689520.

GCF of Denominators means GCF of 933,877,153 as per the given fractions.

GCF of 933,877,153 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 730,846,976

LCM of Fractions 730/933,846/877,976/153 is 150689520

2 730, 846, 976
365, 423, 488

∴ So the LCM of the given numbers is 2 x 365 x 423 x 488 = 150689520

Least Common Multiple of 730,846,976 with GCF Formula

Least Common Multiple of 730,846,976 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 730,846,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,846,976) = 2

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

GCF(730,846,976) x common factors =2 x 2 = 4

LCM(730,846,976) = ( 730 × 846 × 976 ) / 4

LCM(730,846,976) = 602758080 / 4

LCM(730,846,976) = 150689520


Lets's calculate GCF of 933,877,153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150689520/1

Therefore the LCM of Fractions 730/933,846/877,976/153 is 150689520

Greatest Common Factor of 933,877,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,877,153 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 933,877,153 . The biggest common factor number is the GCF number.
So the greatest common factor 933,877,153 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 730/933, 846/877, 976/153

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 730/933, 846/877, 976/153?

Answer: LCM of Numerators as per given numbers 730/933, 846/877, 976/153 is

LCM of Numerators i.e. for 730,846,976 is 150689520

GCF of denominators i.e. for 933,877,153 is 1.

Thus, LCM of Fractions is 150689520.Finally, LCM of Fractions for 730/933, 846/877, 976/153 is 150689520.