Least Common Multiple of 51/920, 62/758, 575/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/920, 62/758, 575/126 quickly i.e. 909075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/920, 62/758, 575/126 is 909075.

LCM(51/920, 62/758, 575/126) = 909075

LCM of 51/920, 62/758, 575/126

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 51/920,62/758,575/126

Given numbers are 51/920,62/758,575/126

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 51,62,575

Least Common Multiple of Numerators i.e. LCM of 51,62,575 is 1818150.

GCF of Denominators means GCF of 920,758,126 as per the given fractions.

GCF of 920,758,126 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,62,575

LCM of Fractions 51/920,62/758,575/126 is 909075

Given numbers has no common factors except 1. So, there LCM is their product i.e 1818150

Least Common Multiple of 51,62,575 with GCF Formula

Least Common Multiple of 51,62,575 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 51,62,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,62,575) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(51,62,575) x common factors =1 x 1 = 1

LCM(51,62,575) = ( 51 × 62 × 575 ) / 1

LCM(51,62,575) = 1818150 / 1

LCM(51,62,575) = 1818150


Lets's calculate GCF of 920,758,126

2 920, 758, 126
460, 379, 63

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1818150/2

Therefore the LCM of Fractions 51/920,62/758,575/126 is 909075

Greatest Common Factor of 920,758,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,758,126 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 920,758,126 . The biggest common factor number is the GCF number.
So the greatest common factor 920,758,126 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 51/920, 62/758, 575/126

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 51/920, 62/758, 575/126?

Answer: LCM of Numerators as per given numbers 51/920, 62/758, 575/126 is

LCM of Numerators i.e. for 51,62,575 is 1818150

GCF of denominators i.e. for 920,758,126 is 2.

Thus, LCM of Fractions is 909075.Finally, LCM of Fractions for 51/920, 62/758, 575/126 is 909075.