Least Common Multiple of 37/70, 69/88, 278/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/70, 69/88, 278/45 quickly i.e. 709734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/70, 69/88, 278/45 is 709734.

LCM(37/70, 69/88, 278/45) = 709734

LCM of 37/70, 69/88, 278/45

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 37/70,69/88,278/45

Given numbers are 37/70,69/88,278/45

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 37,69,278

Least Common Multiple of Numerators i.e. LCM of 37,69,278 is 709734.

GCF of Denominators means GCF of 70,88,45 as per the given fractions.

GCF of 70,88,45 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,69,278

LCM of Fractions 37/70,69/88,278/45 is 709734

Given numbers has no common factors except 1. So, there LCM is their product i.e 709734

Least Common Multiple of 37,69,278 with GCF Formula

Least Common Multiple of 37,69,278 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 37,69,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,69,278) = 1

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

GCF(37,69,278) x common factors =1 x 1 = 1

LCM(37,69,278) = ( 37 × 69 × 278 ) / 1

LCM(37,69,278) = 709734 / 1

LCM(37,69,278) = 709734


Lets's calculate GCF of 70,88,45

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 709734/1

Therefore the LCM of Fractions 37/70,69/88,278/45 is 709734

Greatest Common Factor of 70,88,45 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,88,45 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Greatest Common Factor

We found the factors 70,88,45 . The biggest common factor number is the GCF number.
So the greatest common factor 70,88,45 is 1.


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 37/70, 69/88, 278/45

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 37/70, 69/88, 278/45?

Answer: LCM of Numerators as per given numbers 37/70, 69/88, 278/45 is

LCM of Numerators i.e. for 37,69,278 is 709734

GCF of denominators i.e. for 70,88,45 is 1.

Thus, LCM of Fractions is 709734.Finally, LCM of Fractions for 37/70, 69/88, 278/45 is 709734.