Least Common Multiple of 980/64, 934/5460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 980/64, 934/5460 quickly i.e. 114415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/64, 934/5460 is 114415.

LCM(980/64, 934/5460) = 114415

LCM of 980/64, 934/5460

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 980/64,934/5460

Given numbers are 980/64,934/5460

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 980,934

Least Common Multiple of Numerators i.e. LCM of 980,934 is 457660.

GCF of Denominators means GCF of 64,5460 as per the given fractions.

GCF of 64,5460 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,934

LCM of Fractions 980/64,934/5460 is 114415

2 980, 934
490, 467

∴ So the LCM of the given numbers is 2 x 490 x 467 = 457660

Least Common Multiple of 980,934 with GCF Formula

Least Common Multiple of 980,934 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 980,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,934) = 2

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

GCF(980,934) x common factors =2 x 1 = 2

LCM(980,934) = ( 980 × 934 ) / 2

LCM(980,934) = 915320 / 2

LCM(980,934) = 457660


Lets's calculate GCF of 64,5460

2 64, 5460
2 32, 2730
16, 1365

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 457660/4

Therefore the LCM of Fractions 980/64,934/5460 is 114415

Greatest Common Factor of 64,5460 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,5460 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 5460

List of positive integer factors of 5460 that divides 5460 without a remainder.

1,2,3,4,5,6,7,10,12,13,14,15,20,21,26,28,30,35,39,42,52,60,65,70,78,84,91,105,130,140,156,182,195,210,260,273,364,390,420,455,546,780,910,1092,1365,1820,2730,5460

Greatest Common Factor

We found the factors 64,5460 . The biggest common factor number is the GCF number.
So the greatest common factor 64,5460 is 4.


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 980/64, 934/5460

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 980/64, 934/5460?

Answer: LCM of Numerators as per given numbers 980/64, 934/5460 is

LCM of Numerators i.e. for 980,934 is 457660

GCF of denominators i.e. for 64,5460 is 4.

Thus, LCM of Fractions is 114415.Finally, LCM of Fractions for 980/64, 934/5460 is 114415.