Least Common Multiple of 64/910, 9741/3745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/910, 9741/3745 quickly i.e. 623424/35 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/910, 9741/3745 is 623424/35.

LCM(64/910, 9741/3745) = 623424/35

LCM of 64/910, 9741/3745

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 64/910,9741/3745

Given numbers are 64/910,9741/3745

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 64,9741

Least Common Multiple of Numerators i.e. LCM of 64,9741 is 623424.

GCF of Denominators means GCF of 910,3745 as per the given fractions.

GCF of 910,3745 is 35 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,9741

LCM of Fractions 64/910,9741/3745 is 623424/35

Given numbers has no common factors except 1. So, there LCM is their product i.e 623424

Least Common Multiple of 64,9741 with GCF Formula

Least Common Multiple of 64,9741 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 64,9741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,9741) = 1

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

GCF(64,9741) x common factors =1 x 1 = 1

LCM(64,9741) = ( 64 × 9741 ) / 1

LCM(64,9741) = 623424 / 1

LCM(64,9741) = 623424


Lets's calculate GCF of 910,3745

5 910, 3745
7 182, 749
26, 107

∴ So the GCF of the given numbers is 5 x 7 = 35

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 623424/35

Therefore the LCM of Fractions 64/910,9741/3745 is 623424/35

Greatest Common Factor of 910,3745 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,3745 By Matching Biggest Common Factor Method

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 3745

List of positive integer factors of 3745 that divides 3745 without a remainder.

1,5,7,35,107,535,749,3745

Greatest Common Factor

We found the factors 910,3745 . The biggest common factor number is the GCF number.
So the greatest common factor 910,3745 is 35.


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 64/910, 9741/3745

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 64/910, 9741/3745?

Answer: LCM of Numerators as per given numbers 64/910, 9741/3745 is

LCM of Numerators i.e. for 64,9741 is 623424

GCF of denominators i.e. for 910,3745 is 35.

Thus, LCM of Fractions is 623424/35.Finally, LCM of Fractions for 64/910, 9741/3745 is 623424/35.