Least Common Multiple of 97/55, 77/31, 10/34, 14/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/55, 77/31, 10/34, 14/650 quickly i.e. 74690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/55, 77/31, 10/34, 14/650 is 74690.

LCM(97/55, 77/31, 10/34, 14/650) = 74690

LCM of 97/55, 77/31, 10/34, 14/650

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 97/55,77/31,10/34,14/650

Given numbers are 97/55,77/31,10/34,14/650

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 97,77,10,14

Least Common Multiple of Numerators i.e. LCM of 97,77,10,14 is 74690.

GCF of Denominators means GCF of 55,31,34,650 as per the given fractions.

GCF of 55,31,34,650 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,77,10,14

LCM of Fractions 97/55,77/31,10/34,14/650 is 74690

2 97, 77, 10, 14
7 97, 77, 5, 7
97, 11, 5, 1

∴ So the LCM of the given numbers is 2 x 7 x 97 x 11 x 5 x 1 = 74690

Least Common Multiple of 97,77,10,14 with GCF Formula

Least Common Multiple of 97,77,10,14 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 97,77,10,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,77,10,14) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(97,77,10,14) x common factors =1 x 14 = 14

LCM(97,77,10,14) = ( 97 × 77 × 10 × 14 ) / 14

LCM(97,77,10,14) = 1045660 / 14

LCM(97,77,10,14) = 74690


Lets's calculate GCF of 55,31,34,650

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74690/1

Therefore the LCM of Fractions 97/55,77/31,10/34,14/650 is 74690

Greatest Common Factor of 55,31,34,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,31,34,650 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 31

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

1,31

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 55,31,34,650 . The biggest common factor number is the GCF number.
So the greatest common factor 55,31,34,650 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 97/55, 77/31, 10/34, 14/650

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 97/55, 77/31, 10/34, 14/650?

Answer: LCM of Numerators as per given numbers 97/55, 77/31, 10/34, 14/650 is

LCM of Numerators i.e. for 97,77,10,14 is 74690

GCF of denominators i.e. for 55,31,34,650 is 1.

Thus, LCM of Fractions is 74690.Finally, LCM of Fractions for 97/55, 77/31, 10/34, 14/650 is 74690.