Least Common Multiple of 980/147, 957/954, 986/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 980/147, 957/954, 986/779 quickly i.e. 15943620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/147, 957/954, 986/779 is 15943620.

LCM(980/147, 957/954, 986/779) = 15943620

LCM of 980/147, 957/954, 986/779

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 980/147,957/954,986/779

Given numbers are 980/147,957/954,986/779

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 980,957,986

Least Common Multiple of Numerators i.e. LCM of 980,957,986 is 15943620.

GCF of Denominators means GCF of 147,954,779 as per the given fractions.

GCF of 147,954,779 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,957,986

LCM of Fractions 980/147,957/954,986/779 is 15943620

2 980, 957, 986
29 490, 957, 493
490, 33, 17

∴ So the LCM of the given numbers is 2 x 29 x 490 x 33 x 17 = 15943620

Least Common Multiple of 980,957,986 with GCF Formula

Least Common Multiple of 980,957,986 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 980,957,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,957,986) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(980,957,986) x common factors =1 x 58 = 58

LCM(980,957,986) = ( 980 × 957 × 986 ) / 58

LCM(980,957,986) = 924729960 / 58

LCM(980,957,986) = 15943620


Lets's calculate GCF of 147,954,779

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15943620/1

Therefore the LCM of Fractions 980/147,957/954,986/779 is 15943620

Greatest Common Factor of 147,954,779 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,954,779 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors 147,954,779 . The biggest common factor number is the GCF number.
So the greatest common factor 147,954,779 is 1.


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Frequently Asked Questions on Fractional LCM of 980/147, 957/954, 986/779

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 980/147, 957/954, 986/779?

Answer: LCM of Numerators as per given numbers 980/147, 957/954, 986/779 is

LCM of Numerators i.e. for 980,957,986 is 15943620

GCF of denominators i.e. for 147,954,779 is 1.

Thus, LCM of Fractions is 15943620.Finally, LCM of Fractions for 980/147, 957/954, 986/779 is 15943620.