Least Common Multiple of 3935/892, 6480/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3935/892, 6480/750 quickly i.e. 2549880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3935/892, 6480/750 is 2549880.

LCM(3935/892, 6480/750) = 2549880

LCM of 3935/892, 6480/750

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 3935/892,6480/750

Given numbers are 3935/892,6480/750

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 3935,6480

Least Common Multiple of Numerators i.e. LCM of 3935,6480 is 5099760.

GCF of Denominators means GCF of 892,750 as per the given fractions.

GCF of 892,750 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3935,6480

LCM of Fractions 3935/892,6480/750 is 2549880

5 3935, 6480
787, 1296

∴ So the LCM of the given numbers is 5 x 787 x 1296 = 5099760

Least Common Multiple of 3935,6480 with GCF Formula

Least Common Multiple of 3935,6480 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 3935,6480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3935,6480) = 5

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

GCF(3935,6480) x common factors =5 x 1 = 5

LCM(3935,6480) = ( 3935 × 6480 ) / 5

LCM(3935,6480) = 25498800 / 5

LCM(3935,6480) = 5099760


Lets's calculate GCF of 892,750

2 892, 750
446, 375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5099760/2

Therefore the LCM of Fractions 3935/892,6480/750 is 2549880

Greatest Common Factor of 892,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,750 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 892,750 . The biggest common factor number is the GCF number.
So the greatest common factor 892,750 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3935/892, 6480/750

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 3935/892, 6480/750?

Answer: LCM of Numerators as per given numbers 3935/892, 6480/750 is

LCM of Numerators i.e. for 3935,6480 is 5099760

GCF of denominators i.e. for 892,750 is 2.

Thus, LCM of Fractions is 2549880.Finally, LCM of Fractions for 3935/892, 6480/750 is 2549880.