Least Common Multiple of 70/410, 64/390, 737/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/410, 64/390, 737/760 quickly i.e. 165088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/410, 64/390, 737/760 is 165088.

LCM(70/410, 64/390, 737/760) = 165088

LCM of 70/410, 64/390, 737/760

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 70/410,64/390,737/760

Given numbers are 70/410,64/390,737/760

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 70,64,737

Least Common Multiple of Numerators i.e. LCM of 70,64,737 is 1650880.

GCF of Denominators means GCF of 410,390,760 as per the given fractions.

GCF of 410,390,760 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,64,737

LCM of Fractions 70/410,64/390,737/760 is 165088

2 70, 64, 737
35, 32, 737

∴ So the LCM of the given numbers is 2 x 35 x 32 x 737 = 1650880

Least Common Multiple of 70,64,737 with GCF Formula

Least Common Multiple of 70,64,737 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 70,64,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,64,737) = 1

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

GCF(70,64,737) x common factors =1 x 2 = 2

LCM(70,64,737) = ( 70 × 64 × 737 ) / 2

LCM(70,64,737) = 3301760 / 2

LCM(70,64,737) = 1650880


Lets's calculate GCF of 410,390,760

2 410, 390, 760
5 205, 195, 380
41, 39, 76

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1650880/10

Therefore the LCM of Fractions 70/410,64/390,737/760 is 165088

Greatest Common Factor of 410,390,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,390,760 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 410,390,760 . The biggest common factor number is the GCF number.
So the greatest common factor 410,390,760 is 10.


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 70/410, 64/390, 737/760

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 70/410, 64/390, 737/760?

Answer: LCM of Numerators as per given numbers 70/410, 64/390, 737/760 is

LCM of Numerators i.e. for 70,64,737 is 1650880

GCF of denominators i.e. for 410,390,760 is 10.

Thus, LCM of Fractions is 165088.Finally, LCM of Fractions for 70/410, 64/390, 737/760 is 165088.