Least Common Multiple of 900/77, 567/99, 305/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/77, 567/99, 305/154 quickly i.e. 3458700/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/77, 567/99, 305/154 is 3458700/11.

LCM(900/77, 567/99, 305/154) = 3458700/11

LCM of 900/77, 567/99, 305/154

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 900/77,567/99,305/154

Given numbers are 900/77,567/99,305/154

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 900,567,305

Least Common Multiple of Numerators i.e. LCM of 900,567,305 is 3458700.

GCF of Denominators means GCF of 77,99,154 as per the given fractions.

GCF of 77,99,154 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,567,305

LCM of Fractions 900/77,567/99,305/154 is 3458700/11

3 900, 567, 305
3 300, 189, 305
5 100, 63, 305
20, 63, 61

∴ So the LCM of the given numbers is 3 x 3 x 5 x 20 x 63 x 61 = 3458700

Least Common Multiple of 900,567,305 with GCF Formula

Least Common Multiple of 900,567,305 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 900,567,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,567,305) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(900,567,305) x common factors =1 x 45 = 45

LCM(900,567,305) = ( 900 × 567 × 305 ) / 45

LCM(900,567,305) = 155641500 / 45

LCM(900,567,305) = 3458700


Lets's calculate GCF of 77,99,154

11 77, 99, 154
7, 9, 14

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3458700/11

Therefore the LCM of Fractions 900/77,567/99,305/154 is 3458700/11

Greatest Common Factor of 77,99,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,99,154 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 77,99,154 . The biggest common factor number is the GCF number.
So the greatest common factor 77,99,154 is 11.


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 900/77, 567/99, 305/154

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 900/77, 567/99, 305/154?

Answer: LCM of Numerators as per given numbers 900/77, 567/99, 305/154 is

LCM of Numerators i.e. for 900,567,305 is 3458700

GCF of denominators i.e. for 77,99,154 is 11.

Thus, LCM of Fractions is 3458700/11.Finally, LCM of Fractions for 900/77, 567/99, 305/154 is 3458700/11.