Least Common Multiple of 97/56, 121/35, 253/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/56, 121/35, 253/630 quickly i.e. 269951/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/56, 121/35, 253/630 is 269951/7.

LCM(97/56, 121/35, 253/630) = 269951/7

LCM of 97/56, 121/35, 253/630

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 97/56,121/35,253/630

Given numbers are 97/56,121/35,253/630

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 97,121,253

Least Common Multiple of Numerators i.e. LCM of 97,121,253 is 269951.

GCF of Denominators means GCF of 56,35,630 as per the given fractions.

GCF of 56,35,630 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,121,253

LCM of Fractions 97/56,121/35,253/630 is 269951/7

11 97, 121, 253
97, 11, 23

∴ So the LCM of the given numbers is 11 x 97 x 11 x 23 = 269951

Least Common Multiple of 97,121,253 with GCF Formula

Least Common Multiple of 97,121,253 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 97,121,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,121,253) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(97,121,253) x common factors =1 x 11 = 11

LCM(97,121,253) = ( 97 × 121 × 253 ) / 11

LCM(97,121,253) = 2969461 / 11

LCM(97,121,253) = 269951


Lets's calculate GCF of 56,35,630

7 56, 35, 630
8, 5, 90

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 269951/7

Therefore the LCM of Fractions 97/56,121/35,253/630 is 269951/7

Greatest Common Factor of 56,35,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,35,630 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 56,35,630 . The biggest common factor number is the GCF number.
So the greatest common factor 56,35,630 is 7.


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 97/56, 121/35, 253/630

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 97/56, 121/35, 253/630?

Answer: LCM of Numerators as per given numbers 97/56, 121/35, 253/630 is

LCM of Numerators i.e. for 97,121,253 is 269951

GCF of denominators i.e. for 56,35,630 is 7.

Thus, LCM of Fractions is 269951/7.Finally, LCM of Fractions for 97/56, 121/35, 253/630 is 269951/7.