Least Common Multiple of 45/292, 50/383, 102/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/292, 50/383, 102/772 quickly i.e. 7650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/292, 50/383, 102/772 is 7650.

LCM(45/292, 50/383, 102/772) = 7650

LCM of 45/292, 50/383, 102/772

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 45/292,50/383,102/772

Given numbers are 45/292,50/383,102/772

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 45,50,102

Least Common Multiple of Numerators i.e. LCM of 45,50,102 is 7650.

GCF of Denominators means GCF of 292,383,772 as per the given fractions.

GCF of 292,383,772 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,50,102

LCM of Fractions 45/292,50/383,102/772 is 7650

2 45, 50, 102
3 45, 25, 51
5 15, 25, 17
3, 5, 17

∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 5 x 17 = 7650

Least Common Multiple of 45,50,102 with GCF Formula

Least Common Multiple of 45,50,102 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 45,50,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,50,102) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(45,50,102) x common factors =1 x 30 = 30

LCM(45,50,102) = ( 45 × 50 × 102 ) / 30

LCM(45,50,102) = 229500 / 30

LCM(45,50,102) = 7650


Lets's calculate GCF of 292,383,772

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7650/1

Therefore the LCM of Fractions 45/292,50/383,102/772 is 7650

Greatest Common Factor of 292,383,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,383,772 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 292,383,772 . The biggest common factor number is the GCF number.
So the greatest common factor 292,383,772 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 45/292, 50/383, 102/772

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 45/292, 50/383, 102/772?

Answer: LCM of Numerators as per given numbers 45/292, 50/383, 102/772 is

LCM of Numerators i.e. for 45,50,102 is 7650

GCF of denominators i.e. for 292,383,772 is 1.

Thus, LCM of Fractions is 7650.Finally, LCM of Fractions for 45/292, 50/383, 102/772 is 7650.