Least Common Multiple of 70/31, 49/29, 49/77, 80/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/31, 49/29, 49/77, 80/388 quickly i.e. 3920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/31, 49/29, 49/77, 80/388 is 3920.

LCM(70/31, 49/29, 49/77, 80/388) = 3920

LCM of 70/31, 49/29, 49/77, 80/388

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 70/31,49/29,49/77,80/388

Given numbers are 70/31,49/29,49/77,80/388

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 70,49,49,80

Least Common Multiple of Numerators i.e. LCM of 70,49,49,80 is 3920.

GCF of Denominators means GCF of 31,29,77,388 as per the given fractions.

GCF of 31,29,77,388 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,49,49,80

LCM of Fractions 70/31,49/29,49/77,80/388 is 3920

2 70, 49, 49, 80
5 35, 49, 49, 40
7 7, 49, 49, 8
7 1, 7, 7, 8
1, 1, 1, 8

∴ So the LCM of the given numbers is 2 x 5 x 7 x 7 x 1 x 1 x 1 x 8 = 3920

Least Common Multiple of 70,49,49,80 with GCF Formula

Least Common Multiple of 70,49,49,80 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 70,49,49,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,49,49,80) = 1

common factors(in case of two or more numbers have common factors) = 3430

GCF(70,49,49,80) x common factors =1 x 3430 = 3430

LCM(70,49,49,80) = ( 70 × 49 × 49 × 80 ) / 3430

LCM(70,49,49,80) = 13445600 / 3430

LCM(70,49,49,80) = 3920


Lets's calculate GCF of 31,29,77,388

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3920/1

Therefore the LCM of Fractions 70/31,49/29,49/77,80/388 is 3920

Greatest Common Factor of 31,29,77,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,29,77,388 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 31,29,77,388 . The biggest common factor number is the GCF number.
So the greatest common factor 31,29,77,388 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 70/31, 49/29, 49/77, 80/388

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 70/31, 49/29, 49/77, 80/388?

Answer: LCM of Numerators as per given numbers 70/31, 49/29, 49/77, 80/388 is

LCM of Numerators i.e. for 70,49,49,80 is 3920

GCF of denominators i.e. for 31,29,77,388 is 1.

Thus, LCM of Fractions is 3920.Finally, LCM of Fractions for 70/31, 49/29, 49/77, 80/388 is 3920.