Least Common Multiple of 70/139, 31/364, 347/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/139, 31/364, 347/370 quickly i.e. 752990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/139, 31/364, 347/370 is 752990.

LCM(70/139, 31/364, 347/370) = 752990

LCM of 70/139, 31/364, 347/370

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 70/139,31/364,347/370

Given numbers are 70/139,31/364,347/370

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 70,31,347

Least Common Multiple of Numerators i.e. LCM of 70,31,347 is 752990.

GCF of Denominators means GCF of 139,364,370 as per the given fractions.

GCF of 139,364,370 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,31,347

LCM of Fractions 70/139,31/364,347/370 is 752990

Given numbers has no common factors except 1. So, there LCM is their product i.e 752990

Least Common Multiple of 70,31,347 with GCF Formula

Least Common Multiple of 70,31,347 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 70,31,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,31,347) = 1

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

GCF(70,31,347) x common factors =1 x 1 = 1

LCM(70,31,347) = ( 70 × 31 × 347 ) / 1

LCM(70,31,347) = 752990 / 1

LCM(70,31,347) = 752990


Lets's calculate GCF of 139,364,370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 752990/1

Therefore the LCM of Fractions 70/139,31/364,347/370 is 752990

Greatest Common Factor of 139,364,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 139,364,370 By Matching Biggest Common Factor Method

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 139,364,370 . The biggest common factor number is the GCF number.
So the greatest common factor 139,364,370 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 70/139, 31/364, 347/370

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 70/139, 31/364, 347/370?

Answer: LCM of Numerators as per given numbers 70/139, 31/364, 347/370 is

LCM of Numerators i.e. for 70,31,347 is 752990

GCF of denominators i.e. for 139,364,370 is 1.

Thus, LCM of Fractions is 752990.Finally, LCM of Fractions for 70/139, 31/364, 347/370 is 752990.