Least Common Multiple of 34/928, 892/816, 625/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 34/928, 892/816, 625/763 quickly i.e. 9477500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/928, 892/816, 625/763 is 9477500.

LCM(34/928, 892/816, 625/763) = 9477500

LCM of 34/928, 892/816, 625/763

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 34/928,892/816,625/763

Given numbers are 34/928,892/816,625/763

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 34,892,625

Least Common Multiple of Numerators i.e. LCM of 34,892,625 is 9477500.

GCF of Denominators means GCF of 928,816,763 as per the given fractions.

GCF of 928,816,763 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,892,625

LCM of Fractions 34/928,892/816,625/763 is 9477500

2 34, 892, 625
17, 446, 625

∴ So the LCM of the given numbers is 2 x 17 x 446 x 625 = 9477500

Least Common Multiple of 34,892,625 with GCF Formula

Least Common Multiple of 34,892,625 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 34,892,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,892,625) = 1

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

GCF(34,892,625) x common factors =1 x 2 = 2

LCM(34,892,625) = ( 34 × 892 × 625 ) / 2

LCM(34,892,625) = 18955000 / 2

LCM(34,892,625) = 9477500


Lets's calculate GCF of 928,816,763

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9477500/1

Therefore the LCM of Fractions 34/928,892/816,625/763 is 9477500

Greatest Common Factor of 928,816,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,816,763 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 928,816,763 . The biggest common factor number is the GCF number.
So the greatest common factor 928,816,763 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 34/928, 892/816, 625/763

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 34/928, 892/816, 625/763?

Answer: LCM of Numerators as per given numbers 34/928, 892/816, 625/763 is

LCM of Numerators i.e. for 34,892,625 is 9477500

GCF of denominators i.e. for 928,816,763 is 1.

Thus, LCM of Fractions is 9477500.Finally, LCM of Fractions for 34/928, 892/816, 625/763 is 9477500.