Least Common Multiple of 925/10, 290/78, 577/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 925/10, 290/78, 577/950 quickly i.e. 15478025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 925/10, 290/78, 577/950 is 15478025.

LCM(925/10, 290/78, 577/950) = 15478025

LCM of 925/10, 290/78, 577/950

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 925/10,290/78,577/950

Given numbers are 925/10,290/78,577/950

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 925,290,577

Least Common Multiple of Numerators i.e. LCM of 925,290,577 is 30956050.

GCF of Denominators means GCF of 10,78,950 as per the given fractions.

GCF of 10,78,950 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 925,290,577

LCM of Fractions 925/10,290/78,577/950 is 15478025

5 925, 290, 577
185, 58, 577

∴ So the LCM of the given numbers is 5 x 185 x 58 x 577 = 30956050

Least Common Multiple of 925,290,577 with GCF Formula

Least Common Multiple of 925,290,577 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 925,290,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,290,577) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(925,290,577) x common factors =1 x 5 = 5

LCM(925,290,577) = ( 925 × 290 × 577 ) / 5

LCM(925,290,577) = 154780250 / 5

LCM(925,290,577) = 30956050


Lets's calculate GCF of 10,78,950

2 10, 78, 950
5, 39, 475

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30956050/2

Therefore the LCM of Fractions 925/10,290/78,577/950 is 15478025

Greatest Common Factor of 10,78,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,78,950 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 10,78,950 . The biggest common factor number is the GCF number.
So the greatest common factor 10,78,950 is 2.


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 925/10, 290/78, 577/950

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 925/10, 290/78, 577/950?

Answer: LCM of Numerators as per given numbers 925/10, 290/78, 577/950 is

LCM of Numerators i.e. for 925,290,577 is 30956050

GCF of denominators i.e. for 10,78,950 is 2.

Thus, LCM of Fractions is 15478025.Finally, LCM of Fractions for 925/10, 290/78, 577/950 is 15478025.